GCF (HCF) of 80 and 215

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What is the Greatest Common Divisor of 80 and 215?

Answer

GCF (HCF) of 80 and 215 is
5

Common factors: 1, 5

5 divides both: 80 ÷ 5 = 16, 215 ÷ 5 = 43 — and 16 and 43 share no factor but 1, so no larger number divides both.

80 = 24 × 5

215 = 5 × 43

Prime80215Lowest power
224——
5555
43—43—

— = 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 215?

GCF (HCF) of 80 and 215 is 5

How to find the GCF of 80 and 215?

You can find the GCF of 80 and 215 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 215 is 5.

What prime factors do 80 and 215 share?

The prime factorizations of 80 and 215 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/215?

Divide the numerator and the denominator by the GCF 5: 80 ÷ 5 = 16 and 215 ÷ 5 = 43. So 80/215 in lowest terms is 16/43.