GCF (HCF) of 40 and 125

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What is the Greatest Common Divisor of 40 and 125?

Answer

GCF (HCF) of 40 and 125 is
5

Common factors: 1, 5

5 divides both: 40 ÷ 5 = 8, 125 ÷ 5 = 25 — and 8 and 25 share no factor but 1, so no larger number divides both.

40 = 23 × 5

125 = 53

Prime40125Lowest power
223——
55535

— = 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 40 and 125?

GCF (HCF) of 40 and 125 is 5

How to find the GCF of 40 and 125?

You can find the GCF of 40 and 125 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 125 is 5.

What prime factors do 40 and 125 share?

The prime factorizations of 40 and 125 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/125?

Divide the numerator and the denominator by the GCF 5: 40 ÷ 5 = 8 and 125 ÷ 5 = 25. So 40/125 in lowest terms is 8/25.