GCF (HCF) of 80 and 144

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What is the Greatest Common Divisor of 80 and 144?

Answer

GCF (HCF) of 80 and 144 is
16

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

16 divides both: 80 ÷ 16 = 5, 144 ÷ 16 = 9 — and 5 and 9 share no factor but 1, so no larger number divides both.

80 = 24 × 5

144 = 24 × 32

Prime80144Lowest power
2242424
3—32—
55——

— = 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 80 and 144?

GCF (HCF) of 80 and 144 is 16

How to find the GCF of 80 and 144?

You can find the GCF of 80 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 144 is 16.

What prime factors do 80 and 144 share?

The prime factorizations of 80 and 144 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 80/144?

Divide the numerator and the denominator by the GCF 16: 80 ÷ 16 = 5 and 144 ÷ 16 = 9. So 80/144 in lowest terms is 5/9.