GCF (HCF) of 10 and 150

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 10 and 150?

Answer

GCF (HCF) of 10 and 150 is
10

Common factors: 1, 2, 5, 10

10 divides 150 (150 ÷ 10 = 15), so the GCF is the smaller number itself.

10 = 2 × 5

150 = 2 × 3 × 52

Prime10150Lowest power
2222
3—3—
55525

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

GCF = 2 × 5 = 10

See Also

FAQ

What is the Greatest Common Divisor of 10 and 150?

GCF (HCF) of 10 and 150 is 10

How to find the GCF of 10 and 150?

You can find the GCF of 10 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 150 is 10.

What prime factors do 10 and 150 share?

The prime factorizations of 10 and 150 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/150?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 150 ÷ 10 = 15. So 10/150 in lowest terms is 1/15.