GCF (HCF) of 50 and 325

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What is the Greatest Common Divisor of 50 and 325?

Answer

GCF (HCF) of 50 and 325 is
25

Common factors: 1, 5, 25

25 divides both: 50 ÷ 25 = 2, 325 ÷ 25 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.

50 = 2 × 52

325 = 52 × 13

Prime50325Lowest power
22——
5525252
13—13—

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

GCF = 52 = 25

See Also

FAQ

What is the Greatest Common Divisor of 50 and 325?

GCF (HCF) of 50 and 325 is 25

How to find the GCF of 50 and 325?

You can find the GCF of 50 and 325 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 325 is 25.

What prime factors do 50 and 325 share?

The prime factorizations of 50 and 325 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/325?

Divide the numerator and the denominator by the GCF 25: 50 ÷ 25 = 2 and 325 ÷ 25 = 13. So 50/325 in lowest terms is 2/13.