GCF (HCF) of 75 and 90

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Greatest Common Factor of
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What is the Greatest Common Divisor of 75 and 90?

Answer

GCF (HCF) of 75 and 90 is
15

Common factors: 1, 3, 5, 15

15 divides both: 75 ÷ 15 = 5, 90 ÷ 15 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

75 = 3 × 52

90 = 2 × 32 × 5

Prime7590Lowest power
2—2—
33323
55255

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
757575
75761
75771
75783
75791
75805
75813
75821
75831
75843
75855
75861
75873
75881
75891
759015
75911
75921
75933
75941
75955
75963
75971
75981
75993
7510025
751011
751023
751031
751041

FAQ

What is the Greatest Common Divisor of 75 and 90?

GCF (HCF) of 75 and 90 is 15

How to find the GCF of 75 and 90?

You can find the GCF of 75 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 90 is 15.

What prime factors do 75 and 90 share?

The prime factorizations of 75 and 90 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/90?

Divide the numerator and the denominator by the GCF 15: 75 ÷ 15 = 5 and 90 ÷ 15 = 6. So 75/90 in lowest terms is 5/6.

See Also