GCF (HCF) of 40 and 50

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What is the Greatest Common Divisor of 40 and 50?

Answer

GCF (HCF) of 40 and 50 is
10

Common factors: 1, 2, 5, 10

10 divides both: 40 ÷ 10 = 4, 50 ÷ 10 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

40 = 23 × 5

50 = 2 × 52

Prime4050Lowest power
22322
55525

GCF = 2 × 5 = 10

See Also

FAQ

What is the Greatest Common Divisor of 40 and 50?

GCF (HCF) of 40 and 50 is 10

How to find the GCF of 40 and 50?

You can find the GCF of 40 and 50 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 50 is 10.

What prime factors do 40 and 50 share?

The prime factorizations of 40 and 50 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/50?

Divide the numerator and the denominator by the GCF 10: 40 ÷ 10 = 4 and 50 ÷ 10 = 5. So 40/50 in lowest terms is 4/5.