GCF (HCF) of 50 and 145

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What is the Greatest Common Divisor of 50 and 145?

Answer

GCF (HCF) of 50 and 145 is
5

Common factors: 1, 5

5 divides both: 50 ÷ 5 = 10, 145 ÷ 5 = 29 — and 10 and 29 share no factor but 1, so no larger number divides both.

50 = 2 × 52

145 = 5 × 29

Prime50145Lowest power
22——
55255
29—29—

— = 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 145?

GCF (HCF) of 50 and 145 is 5

How to find the GCF of 50 and 145?

You can find the GCF of 50 and 145 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 50 and 145 is 5.

What prime factors do 50 and 145 share?

The prime factorizations of 50 and 145 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 50/145?

Divide the numerator and the denominator by the GCF 5: 50 ÷ 5 = 10 and 145 ÷ 5 = 29. So 50/145 in lowest terms is 10/29.