GCF (HCF) of 32 and 90

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What is the Greatest Common Divisor of 32 and 90?

Answer

GCF (HCF) of 32 and 90 is
2

Common factors: 1, 2

2 divides both: 32 ÷ 2 = 16, 90 ÷ 2 = 45 — and 16 and 45 share no factor but 1, so no larger number divides both.

32 = 25

90 = 2 × 32 × 5

Prime3290Lowest power
22522
3—32—
5—5—

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

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 32 and 90?

GCF (HCF) of 32 and 90 is 2

How to find the GCF of 32 and 90?

You can find the GCF of 32 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 90 is 2.

What prime factors do 32 and 90 share?

The prime factorizations of 32 and 90 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 32/90?

Divide the numerator and the denominator by the GCF 2: 32 ÷ 2 = 16 and 90 ÷ 2 = 45. So 32/90 in lowest terms is 16/45.