GCF (HCF) of 180 and 240

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What is the Greatest Common Divisor of 180 and 240?

Answer

GCF (HCF) of 180 and 240 is
60

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

60 divides both: 180 ÷ 60 = 3, 240 ÷ 60 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

180 = 22 × 32 × 5

240 = 24 × 3 × 5

Prime180240Lowest power
2222422
33233
5555

GCF = 22 × 3 × 5 = 60

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GCF Table

Number 1Number 2GCF
18022545
1802262
1802271
18022812
1802291
18023010
1802313
1802324
1802331
18023418
1802355
1802364
1802373
1802382
1802391
18024060
1802411
1802422
1802439
1802444
1802455
1802466
1802471
1802484
1802493
18025010
1802511
18025236
1802531
1802542

FAQ

What is the Greatest Common Divisor of 180 and 240?

GCF (HCF) of 180 and 240 is 60

How to find the GCF of 180 and 240?

You can find the GCF of 180 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 240 is 60.

What prime factors do 180 and 240 share?

The prime factorizations of 180 and 240 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 180/240?

Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 240 ÷ 60 = 4. So 180/240 in lowest terms is 3/4.

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