QuestionIdentify the greatest common factor of 25 c and 50 acw .
Answer Attempt 1 out of 2 $\square$

Studdy Solution

STEP 1

1. We are given two expressions: $25c$ and $50acw$ .
2. We need to find the greatest common factor (GCF) of these two expressions.
3. The GCF is the largest expression that divides both given expressions without leaving a remainder.

STEP 2

1. Factor each expression into its prime factors.
2. Identify the common factors.
3. Determine the greatest common factor.

STEP 3

Factor each expression into its prime factors.
For $25c$ : - The number 25 can be factored into $5 \times 5$ . - The expression becomes $5 \times 5 \times c$ .
For $50acw$ : - The number 50 can be factored into $2 \times 5 \times 5$ . - The expression becomes $2 \times 5 \times 5 \times a \times c \times w$ .

STEP 4

Identify the common factors.
- Both expressions have the factor $5 \times 5$ . - The expression $25c$ has the factor $c$ , and $50acw$ also has the factor $c$ .

STEP 5

Determine the greatest common factor.
- The common factors are $5 \times 5$ and $c$ . - Thus, the greatest common factor is $25c$ .
The greatest common factor of $25c$ and $50acw$ is:
$\boxed{25c}$

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