GCF (HCF) of 4 and 48

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What is the Greatest Common Divisor of 4 and 48?

Answer

GCF (HCF) of 4 and 48 is
4

Common factors: 1, 2, 4

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

4 = 22

48 = 24 × 3

Prime448Lowest power
2222422
3—3—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 22 = 4

See Also

FAQ

What is the Greatest Common Divisor of 4 and 48?

GCF (HCF) of 4 and 48 is 4

How to find the GCF of 4 and 48?

You can find the GCF of 4 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 48 is 4.

What prime factors do 4 and 48 share?

The prime factorizations of 4 and 48 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 4/48?

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