GCF (HCF) of 5 and 25

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What is the Greatest Common Divisor of 5 and 25?

Answer

GCF (HCF) of 5 and 25 is
5

Common factors: 1, 5

5 divides 25 (25 ÷ 5 = 5), so the GCF is the smaller number itself.

5 — prime

25 = 52

Prime525Lowest power
55525

GCF = 5

See Also

FAQ

What is the Greatest Common Divisor of 5 and 25?

GCF (HCF) of 5 and 25 is 5

How to find the GCF of 5 and 25?

You can find the GCF of 5 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 25 is 5.

What prime factors do 5 and 25 share?

The prime factorizations of 5 and 25 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 5/25?

Divide the numerator and the denominator by the GCF 5: 5 ÷ 5 = 1 and 25 ÷ 5 = 5. So 5/25 in lowest terms is 1/5.