Question

what is the greatest common factor of 36 and 60?
○ 6
○ 12
○ 24
○ 36

Explanation:

Step1: List prime factors of 36

$36 = 2^2 \times 3^2$

Step2: List prime factors of 60

$60 = 2^2 \times 3 \times 5$

Step3: Find shared prime factors

Take lowest exponents of shared primes: $2^2 \times 3$

Step4: Calculate the product

$\frac{4 \times 3}{1} = 12$

Answer:

12