GCF (HCF) of 12 and 108

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What is the Greatest Common Divisor of 12 and 108?

Answer

GCF (HCF) of 12 and 108 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides 108 (108 ÷ 12 = 9), so the GCF is the smaller number itself.

12 = 22 × 3

108 = 22 × 33

Prime12108Lowest power
2222222
33333

GCF = 22 × 3 = 12

See Also

FAQ

What is the Greatest Common Divisor of 12 and 108?

GCF (HCF) of 12 and 108 is 12

How to find the GCF of 12 and 108?

You can find the GCF of 12 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 108 is 12.

What prime factors do 12 and 108 share?

The prime factorizations of 12 and 108 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 12/108?

Divide the numerator and the denominator by the GCF 12: 12 ÷ 12 = 1 and 108 ÷ 12 = 9. So 12/108 in lowest terms is 1/9.