GCF (HCF) of 75 and 80

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Greatest Common Factor of
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What is the Greatest Common Divisor of 75 and 80?

Answer

GCF (HCF) of 75 and 80 is
5

Common factors: 1, 5

5 divides both: 75 ÷ 5 = 15, 80 ÷ 5 = 16 — and 15 and 16 share no factor but 1, so no larger number divides both.

75 = 3 × 52

80 = 24 × 5

Prime7580Lowest power
2—24—
33——
55255

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

GCF = 5

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GCF Table

Number 1Number 2GCF
75655
75663
75671
75681
75693
75705
75711
75723
75731
75741
757575
75761
75771
75783
75791
75805
75813
75821
75831
75843
75855
75861
75873
75881
75891
759015
75911
75921
75933
75941

FAQ

What is the Greatest Common Divisor of 75 and 80?

GCF (HCF) of 75 and 80 is 5

How to find the GCF of 75 and 80?

You can find the GCF of 75 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 80 is 5.

What prime factors do 75 and 80 share?

The prime factorizations of 75 and 80 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/80?

Divide the numerator and the denominator by the GCF 5: 75 ÷ 5 = 15 and 80 ÷ 5 = 16. So 75/80 in lowest terms is 15/16.

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