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question identify the greatest common factor of 24ay and 39w.

Question

question
identify the greatest common factor of 24ay and 39w.

Explanation:

Step1: Factorize 24 and 39

Factorize \( 24 \): \( 24 = 2\times2\times2\times3 \)
Factorize \( 39 \): \( 39 = 3\times13 \)

Step2: Find common prime factors

The common prime factor of \( 24 \) and \( 39 \) is \( 3 \).
For the variables, \( 24ay \) has variables \( a, y \) and \( 39w \) has variable \( w \); no common variables.

Step3: Determine GCF

The greatest common factor (GCF) is the product of common prime factors and common variables. Since only \( 3 \) is common, GCF is \( 3 \).

Answer:

\( 3 \)