GCF (HCF) of 168 and 180

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What is the Greatest Common Divisor of 168 and 180?

Answer

GCF (HCF) of 168 and 180 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 168 ÷ 12 = 14, 180 ÷ 12 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

168 = 23 × 3 × 7

180 = 22 × 32 × 5

Prime168180Lowest power
2232222
33323
5—5—
77——

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

GCF = 22 × 3 = 12

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GCF Table

Number 1Number 2GCF
1681653
1681662
1681671
168168168
1681691
1681702
1681713
1681724
1681731
1681746
1681757
1681768
1681773
1681782
1681791
16818012
1681811
16818214
1681833
1681848
1681851
1681866
1681871
1681884
16818921
1681902
1681911
16819224
1681931
1681942

FAQ

What is the Greatest Common Divisor of 168 and 180?

GCF (HCF) of 168 and 180 is 12

How to find the GCF of 168 and 180?

You can find the GCF of 168 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 180 is 12.

What prime factors do 168 and 180 share?

The prime factorizations of 168 and 180 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 168/180?

Divide the numerator and the denominator by the GCF 12: 168 ÷ 12 = 14 and 180 ÷ 12 = 15. So 168/180 in lowest terms is 14/15.

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