GCF (HCF) of 10 and 80

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What is the Greatest Common Divisor of 10 and 80?

Answer

GCF (HCF) of 10 and 80 is
10

Common factors: 1, 2, 5, 10

10 divides 80 (80 ÷ 10 = 8), so the GCF is the smaller number itself.

10 = 2 × 5

80 = 24 × 5

Prime1080Lowest power
22242
5555

GCF = 2 × 5 = 10

See Also

FAQ

What is the Greatest Common Divisor of 10 and 80?

GCF (HCF) of 10 and 80 is 10

How to find the GCF of 10 and 80?

You can find the GCF of 10 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 80 is 10.

What prime factors do 10 and 80 share?

The prime factorizations of 10 and 80 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/80?

Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 80 ÷ 10 = 8. So 10/80 in lowest terms is 1/8.