GCF (HCF) of 80 and 200

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What is the Greatest Common Divisor of 80 and 200?

Answer

GCF (HCF) of 80 and 200 is
40

Common factors: 1, 2, 4, 5, 8, 10, 20, 40

40 divides both: 80 ÷ 40 = 2, 200 ÷ 40 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

80 = 24 × 5

200 = 23 × 52

Prime80200Lowest power
2242323
55525

GCF = 23 × 5 = 40

See Also

FAQ

What is the Greatest Common Divisor of 80 and 200?

GCF (HCF) of 80 and 200 is 40

How to find the GCF of 80 and 200?

You can find the GCF of 80 and 200 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 200 is 40.

What prime factors do 80 and 200 share?

The prime factorizations of 80 and 200 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/200?

Divide the numerator and the denominator by the GCF 40: 80 ÷ 40 = 2 and 200 ÷ 40 = 5. So 80/200 in lowest terms is 2/5.