Question

find the greatest common factor of 42 and 28.

Explanation:

Step1: Prime Factorize 42

Prime factors of 42: \(42 = 2\times3\times7\)

Step2: Prime Factorize 28

Prime factors of 28: \(28 = 2\times2\times7\)

Step3: Identify Common Factors

Common prime factors of 42 and 28 are 2 and 7.

Step4: Calculate GCF

Multiply the common prime factors: \(2\times7 = 14\)

Answer:

14