GCF (HCF) of 90 and 150

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What is the Greatest Common Divisor of 90 and 150?

Answer

GCF (HCF) of 90 and 150 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides both: 90 ÷ 30 = 3, 150 ÷ 30 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

90 = 2 × 32 × 5

150 = 2 × 3 × 52

Prime90150Lowest power
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33233
55525

GCF = 2 × 3 × 5 = 30

See Also

FAQ

What is the Greatest Common Divisor of 90 and 150?

GCF (HCF) of 90 and 150 is 30

How to find the GCF of 90 and 150?

You can find the GCF of 90 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 150 is 30.

What prime factors do 90 and 150 share?

The prime factorizations of 90 and 150 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/150?

Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 150 ÷ 30 = 5. So 90/150 in lowest terms is 3/5.