GCF (HCF) of 12 and 48

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What is the Greatest Common Divisor of 12 and 48?

Answer

GCF (HCF) of 12 and 48 is
12

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

12 divides 48 (48 ÷ 12 = 4), so the GCF is the smaller number itself.

12 = 22 × 3

48 = 24 × 3

Prime1248Lowest power
2222422
3333

GCF = 22 × 3 = 12

See Also

FAQ

What is the Greatest Common Divisor of 12 and 48?

GCF (HCF) of 12 and 48 is 12

How to find the GCF of 12 and 48?

You can find the GCF of 12 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 48 is 12.

What prime factors do 12 and 48 share?

The prime factorizations of 12 and 48 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 12/48?

Divide the numerator and the denominator by the GCF 12: 12 ÷ 12 = 1 and 48 ÷ 12 = 4. So 12/48 in lowest terms is 1/4.