Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 12, 2023

Find the greatest common factor of $16$ and $40$ . The greatest common factor is $\square$ .

STEP 1

Assumptions
1. We are looking for the greatest common factor (GCF) of the numbers 16 and 40.
2. The GCF is the largest positive integer that divides both of the numbers without leaving a remainder.

STEP 2

List out the factors of the first number, 16.
$Factors\, of\, 16: 1, 2, 4, 8, 16$

STEP 3

List out the factors of the second number, 40.
$Factors\, of\, 40: 1, 2, 4, 5, 8, 10, 20, 40$

STEP 4

Identify the common factors of 16 and 40.
$Common\, factors: 1, 2, 4, 8$

STEP 5

Find the greatest of the common factors.
$Greatest\, common\, factor: 8$
The greatest common factor is $8$ .

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