GCF (HCF) of 50 and 100

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What is the Greatest Common Divisor of 50 and 100?

Answer

GCF (HCF) of 50 and 100 is
50

Common factors: 1, 2, 5, 10, 25, 50

50 divides 100 (100 ÷ 50 = 2), so the GCF is the smaller number itself.

50 = 2 × 52

100 = 22 × 52

Prime50100Lowest power
22222
5525252

GCF = 2 × 52 = 50

See Also

FAQ

What is the Greatest Common Divisor of 50 and 100?

GCF (HCF) of 50 and 100 is 50

How to find the GCF of 50 and 100?

You can find the GCF of 50 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 100 is 50.

What prime factors do 50 and 100 share?

The prime factorizations of 50 and 100 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/100?

Divide the numerator and the denominator by the GCF 50: 50 ÷ 50 = 1 and 100 ÷ 50 = 2. So 50/100 in lowest terms is 1/2.