GCF (HCF) of 180 and 600

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What is the Greatest Common Divisor of 180 and 600?

Answer

GCF (HCF) of 180 and 600 is
60

Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

60 divides both: 180 ÷ 60 = 3, 600 ÷ 60 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

180 = 22 × 32 × 5

600 = 23 × 3 × 52

Prime180600Lowest power
2222322
33233
55525

GCF = 22 × 3 × 5 = 60

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GCF Table

Number 1Number 2GCF
18058545
1805862
1805871
18058812
1805891
18059010
1805913
1805924
1805931
18059418
1805955
1805964
1805973
1805982
1805991
18060060
1806011
1806022
1806039
1806044
1806055
1806066
1806071
1806084
1806093
18061010
1806111
18061236
1806131
1806142

FAQ

What is the Greatest Common Divisor of 180 and 600?

GCF (HCF) of 180 and 600 is 60

How to find the GCF of 180 and 600?

You can find the GCF of 180 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 600 is 60.

What prime factors do 180 and 600 share?

The prime factorizations of 180 and 600 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

How does the GCF reduce the fraction 180/600?

Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 600 ÷ 60 = 10. So 180/600 in lowest terms is 3/10.

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