GCF (HCF) of 50 and 72

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What is the Greatest Common Divisor of 50 and 72?

Answer

GCF (HCF) of 50 and 72 is
2

Common factors: 1, 2

2 divides both: 50 ÷ 2 = 25, 72 ÷ 2 = 36 — and 25 and 36 share no factor but 1, so no larger number divides both.

50 = 2 × 52

72 = 23 × 32

Prime5072Lowest power
22232
3—32—
552——

— = 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 50 and 72?

GCF (HCF) of 50 and 72 is 2

How to find the GCF of 50 and 72?

You can find the GCF of 50 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 72 is 2.

What prime factors do 50 and 72 share?

The prime factorizations of 50 and 72 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/72?

Divide the numerator and the denominator by the GCF 2: 50 ÷ 2 = 25 and 72 ÷ 2 = 36. So 50/72 in lowest terms is 25/36.