Question

Which pair of numbers has a GCF of 3? (A) 1 and 6 (B) 2 and 3 (C) 2 and 6 (D) 3 and 4

Answer 1

None of the above

Explanation:

To find the GCF of something find the prime factorization of each number, then see which numbers are the same. After that multiply the numbers that are the same.

(PF): Prime Factorization

A: PF - 1 PF - 2 · 3 (Since they don't have any numbers in common the GCF is 1)

B: PF - 2 PF - 3 (The GCF is also 1)

C: PF - 2 PF - 2 · 3 (Because they have 2 in common the GCF is 2)

D: PF - 3 PF - 2 & 2 (The GCF is 1)

None of the options have a GCF of 3. Therefore it is none of the above