GCF (HCF) of 84 and 90

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What is the Greatest Common Divisor of 84 and 90?

Answer

GCF (HCF) of 84 and 90 is
6

Common factors: 1, 2, 3, 6

6 divides both: 84 ÷ 6 = 14, 90 ÷ 6 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

90 = 2 × 32 × 5

Prime8490Lowest power
22222
33323
5—5—
77——

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

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
84753
84764
84777
84786
84791
84804
84813
84822
84831
848484
84851
84862
84873
84884
84891
84906
84917
84924
84933
84942
84951
849612
84971
849814
84993
841004
841011
841026
841031
841044

FAQ

What is the Greatest Common Divisor of 84 and 90?

GCF (HCF) of 84 and 90 is 6

How to find the GCF of 84 and 90?

You can find the GCF of 84 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 90 is 6.

What prime factors do 84 and 90 share?

The prime factorizations of 84 and 90 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/90?

Divide the numerator and the denominator by the GCF 6: 84 ÷ 6 = 14 and 90 ÷ 6 = 15. So 84/90 in lowest terms is 14/15.

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