GCF (HCF) of 80 and 115

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What is the Greatest Common Divisor of 80 and 115?

Answer

GCF (HCF) of 80 and 115 is
5

Common factors: 1, 5

5 divides both: 80 ÷ 5 = 16, 115 ÷ 5 = 23 — and 16 and 23 share no factor but 1, so no larger number divides both.

80 = 24 × 5

115 = 5 × 23

Prime80115Lowest power
224——
5555
23—23—

— = 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 115?

GCF (HCF) of 80 and 115 is 5

How to find the GCF of 80 and 115?

You can find the GCF of 80 and 115 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 115 is 5.

What prime factors do 80 and 115 share?

The prime factorizations of 80 and 115 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/115?

Divide the numerator and the denominator by the GCF 5: 80 ÷ 5 = 16 and 115 ÷ 5 = 23. So 80/115 in lowest terms is 16/23.