GCF (HCF) of 80 and 325

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What is the Greatest Common Divisor of 80 and 325?

Answer

GCF (HCF) of 80 and 325 is
5

Common factors: 1, 5

5 divides both: 80 ÷ 5 = 16, 325 ÷ 5 = 65 — and 16 and 65 share no factor but 1, so no larger number divides both.

80 = 24 × 5

325 = 52 × 13

Prime80325Lowest power
224——
55525
13—13—

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

GCF = 5

See Also

FAQ

What is the Greatest Common Divisor of 80 and 325?

GCF (HCF) of 80 and 325 is 5

How to find the GCF of 80 and 325?

You can find the GCF of 80 and 325 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 325 is 5.

What prime factors do 80 and 325 share?

The prime factorizations of 80 and 325 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/325?

Divide the numerator and the denominator by the GCF 5: 80 ÷ 5 = 16 and 325 ÷ 5 = 65. So 80/325 in lowest terms is 16/65.