GCF (HCF) of 180 and 252

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What is the Greatest Common Divisor of 180 and 252?

Answer

GCF (HCF) of 180 and 252 is
36

Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

36 divides both: 180 ÷ 36 = 5, 252 ÷ 36 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

180 = 22 × 32 × 5

252 = 22 × 32 × 7

Prime180252Lowest power
2222222
3323232
55——
7—7—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 22 × 32 = 36

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GCF Table

Number 1Number 2GCF
1802373
1802382
1802391
18024060
1802411
1802422
1802439
1802444
1802455
1802466
1802471
1802484
1802493
18025010
1802511
18025236
1802531
1802542
18025515
1802564
1802571
1802586
1802591
18026020
1802619
1802622
1802631
18026412
1802655
1802662

FAQ

What is the Greatest Common Divisor of 180 and 252?

GCF (HCF) of 180 and 252 is 36

How to find the GCF of 180 and 252?

You can find the GCF of 180 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 252 is 36.

What prime factors do 180 and 252 share?

The prime factorizations of 180 and 252 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 180/252?

Divide the numerator and the denominator by the GCF 36: 180 ÷ 36 = 5 and 252 ÷ 36 = 7. So 180/252 in lowest terms is 5/7.

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