GCF (HCF) of 6 and 24

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What is the Greatest Common Divisor of 6 and 24?

Answer

GCF (HCF) of 6 and 24 is
6

Common factors: 1, 2, 3, 6

6 divides 24 (24 ÷ 6 = 4), so the GCF is the smaller number itself.

6 = 2 × 3

24 = 23 × 3

Prime624Lowest power
22232
3333

GCF = 2 × 3 = 6

See Also

FAQ

What is the Greatest Common Divisor of 6 and 24?

GCF (HCF) of 6 and 24 is 6

How to find the GCF of 6 and 24?

You can find the GCF of 6 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 24 is 6.

What prime factors do 6 and 24 share?

The prime factorizations of 6 and 24 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/24?

Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 24 ÷ 6 = 4. So 6/24 in lowest terms is 1/4.