Solved on Nov 16, 2023

Who is right about the GCF of $16$ and $12$ ? Explain the correct GCF.

STEP 1

Assumptions1. We are asked to find the Greatest Common Factor (GCF) of16 and12. . Emma says the GCF is48 and Grace says it's4.
3. We need to determine who is correct.

STEP 2

The GCF of two numbers is the largest number that divides both of them without leaving a remainder. We can find the GCF by listing the factors of each number and then finding the largest number that appears in both lists.

STEP 3

First, let's list the factors of16. The factors of a number are the numbers that divide it exactly.
$Factors\, of\,161,2,,8,16$

STEP 4

Next, let's list the factors of12.
$Factors\, of\,121,2,3,4,6,12$

STEP 5

Now, let's find the common factors of16 and12. These are the numbers that appear in both lists.
$Common\, factors\, of\,16\, and\,121,2,4$

STEP 6

The GCF is the largest number in the list of common factors. So, the GCF of16 and12 is4.
$GCF\, of\,16\, and\,12 =4$ Therefore, Grace is correct and Emma is incorrect. The GCF of16 and12 is not48, it is4.

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Who is right about the GCF of $16$ and $12$ ? Explain the correct GCF.

STEP 1

Assumptions1. We are asked to find the Greatest Common Factor (GCF) of16 and12. . Emma says the GCF is48 and Grace says it's4.
3. We need to determine who is correct.

STEP 2

The GCF of two numbers is the largest number that divides both of them without leaving a remainder. We can find the GCF by listing the factors of each number and then finding the largest number that appears in both lists.

STEP 3

First, let's list the factors of16. The factors of a number are the numbers that divide it exactly.
$Factors\, of\,161,2,,8,16$

STEP 4

Next, let's list the factors of12.
$Factors\, of\,121,2,3,4,6,12$

STEP 5

Now, let's find the common factors of16 and12. These are the numbers that appear in both lists.
$Common\, factors\, of\,16\, and\,121,2,4$

STEP 6

The GCF is the largest number in the list of common factors. So, the GCF of16 and12 is4.
$GCF\, of\,16\, and\,12 =4$ Therefore, Grace is correct and Emma is incorrect. The GCF of16 and12 is not48, it is4.

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Who is right about the GCF of 161616 and 121212? Explain the correct GCF.

STEP 1

Assumptions1. We are asked to find the Greatest Common Factor (GCF) of16 and12. . Emma says the GCF is48 and Grace says it's4.3. We need to determine who is correct.

STEP 2

The GCF of two numbers is the largest number that divides both of them without leaving a remainder. We can find the GCF by listing the factors of each number and then finding the largest number that appears in both lists.

STEP 3

First, let's list the factors of16. The factors of a number are the numbers that divide it exactly.Factors of 161,2,,8,16Factors\, of\,161,2,,8,16Factorsof161,2,,8,16

STEP 4

Next, let's list the factors of12.Factors of 121,2,3,4,6,12Factors\, of\,121,2,3,4,6,12Factorsof121,2,3,4,6,12

STEP 5

Now, let's find the common factors of16 and12. These are the numbers that appear in both lists.Common factors of 16 and 121,2,4Common\, factors\, of\,16\, and\,121,2,4Commonfactorsof16and121,2,4

STEP 6

The GCF is the largest number in the list of common factors. So, the GCF of16 and12 is4.GCF of 16 and 12=4GCF\, of\,16\, and\,12 =4GCFof16and12=4Therefore, Grace is correct and Emma is incorrect. The GCF of16 and12 is not48, it is4.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Who is right about the GCF of $16$ and $12$ ? Explain the correct GCF.

Assumptions1. We are asked to find the Greatest Common Factor (GCF) of16 and12. . Emma says the GCF is48 and Grace says it's4.
3. We need to determine who is correct.

First, let's list the factors of16. The factors of a number are the numbers that divide it exactly.
$Factors\, of\,161,2,,8,16$

Next, let's list the factors of12.
$Factors\, of\,121,2,3,4,6,12$

Now, let's find the common factors of16 and12. These are the numbers that appear in both lists.
$Common\, factors\, of\,16\, and\,121,2,4$

The GCF is the largest number in the list of common factors. So, the GCF of16 and12 is4.
$GCF\, of\,16\, and\,12 =4$ Therefore, Grace is correct and Emma is incorrect. The GCF of16 and12 is not48, it is4.