GCF (HCF) of 65 and 75

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What is the Greatest Common Divisor of 65 and 75?

Answer

GCF (HCF) of 65 and 75 is
5

Common factors: 1, 5

5 divides both: 65 ÷ 5 = 13, 75 ÷ 5 = 15 — and 13 and 15 share no factor but 1, so no larger number divides both.

65 = 5 × 13

75 = 3 × 52

Prime6575Lowest power
3—3—
55525
1313——

— = 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
65605
65611
65621
65631
65641
656565
65661
65671
65681
65691
65705
65711
65721
65731
65741
65755
65761
65771
657813
65791
65805
65811
65821
65831
65841
65855
65861
65871
65881
65891

FAQ

What is the Greatest Common Divisor of 65 and 75?

GCF (HCF) of 65 and 75 is 5

How to find the GCF of 65 and 75?

You can find the GCF of 65 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 65 and 75 is 5.

What prime factors do 65 and 75 share?

The prime factorizations of 65 and 75 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 65/75?

Divide the numerator and the denominator by the GCF 5: 65 ÷ 5 = 13 and 75 ÷ 5 = 15. So 65/75 in lowest terms is 13/15.

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