What is the GCF of 12 72 and 96?

Answer 1

o find the greatest common factor (GCF) of 12, 72, and 96, we need to determine the largest number that divides all three evenly. Here's how to do it step by step:

Prime factorization of each number:

12 = 2² × 3

72 = 2³ × 3²

96 = 2⁵ × 3

Identify the common factors:

The common prime factors are 2 and 3.

For 2, the smallest power in all the factorizations is 2² (from 12).

For 3, the smallest power in all the factorizations is 3 (from 12 and 96).

Multiply the common factors:

GCF = 2² × 3 = 4 × 3 = 12.

The GCF of 12, 72, and 96 is 12.

Answer 2

The GCF is 12.

Answer 3

GCF(12, 72, 96) = 12.