GCF (HCF) of 50 and 88

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What is the Greatest Common Divisor of 50 and 88?

Answer

GCF (HCF) of 50 and 88 is
2

Common factors: 1, 2

2 divides both: 50 ÷ 2 = 25, 88 ÷ 2 = 44 — and 25 and 44 share no factor but 1, so no larger number divides both.

50 = 2 × 52

88 = 23 × 11

Prime5088Lowest power
22232
552——
11—11—

— = 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 88?

GCF (HCF) of 50 and 88 is 2

How to find the GCF of 50 and 88?

You can find the GCF of 50 and 88 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 88 is 2.

What prime factors do 50 and 88 share?

The prime factorizations of 50 and 88 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/88?

Divide the numerator and the denominator by the GCF 2: 50 ÷ 2 = 25 and 88 ÷ 2 = 44. So 50/88 in lowest terms is 25/44.