GCF (HCF) of 32 and 80

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What is the Greatest Common Divisor of 32 and 80?

Answer

GCF (HCF) of 32 and 80 is
16

Common factors: 1, 2, 4, 8, 16

16 divides both: 32 ÷ 16 = 2, 80 ÷ 16 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

32 = 25

80 = 24 × 5

Prime3280Lowest power
2252424
5—5—

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

GCF = 24 = 16

See Also

FAQ

What is the Greatest Common Divisor of 32 and 80?

GCF (HCF) of 32 and 80 is 16

How to find the GCF of 32 and 80?

You can find the GCF of 32 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 80 is 16.

What prime factors do 32 and 80 share?

The prime factorizations of 32 and 80 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 32/80?

Divide the numerator and the denominator by the GCF 16: 32 ÷ 16 = 2 and 80 ÷ 16 = 5. So 32/80 in lowest terms is 2/5.