GCF (HCF) of 10 and 95

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What is the Greatest Common Divisor of 10 and 95?

Answer

GCF (HCF) of 10 and 95 is
5

Common factors: 1, 5

5 divides both: 10 ÷ 5 = 2, 95 ÷ 5 = 19 — and 2 and 19 share no factor but 1, so no larger number divides both.

10 = 2 × 5

95 = 5 × 19

Prime1095Lowest power
22——
5555
19—19—

— = 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 10 and 95?

GCF (HCF) of 10 and 95 is 5

How to find the GCF of 10 and 95?

You can find the GCF of 10 and 95 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 95 is 5.

What prime factors do 10 and 95 share?

The prime factorizations of 10 and 95 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/95?

Divide the numerator and the denominator by the GCF 5: 10 ÷ 5 = 2 and 95 ÷ 5 = 19. So 10/95 in lowest terms is 2/19.