GCF (HCF) of 50 and 295

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What is the Greatest Common Divisor of 50 and 295?

Answer

GCF (HCF) of 50 and 295 is
5

Common factors: 1, 5

5 divides both: 50 ÷ 5 = 10, 295 ÷ 5 = 59 — and 10 and 59 share no factor but 1, so no larger number divides both.

50 = 2 × 52

295 = 5 × 59

Prime50295Lowest power
22——
55255
59—59—

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

GCF = 5

See Also

FAQ

What is the Greatest Common Divisor of 50 and 295?

GCF (HCF) of 50 and 295 is 5

How to find the GCF of 50 and 295?

You can find the GCF of 50 and 295 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 295 is 5.

What prime factors do 50 and 295 share?

The prime factorizations of 50 and 295 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/295?

Divide the numerator and the denominator by the GCF 5: 50 ÷ 5 = 10 and 295 ÷ 5 = 59. So 50/295 in lowest terms is 10/59.