GCF (HCF) of 150 and 180

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What is the Greatest Common Divisor of 150 and 180?

Answer

GCF (HCF) of 150 and 180 is
30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides both: 150 ÷ 30 = 5, 180 ÷ 30 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

150 = 2 × 3 × 52

180 = 22 × 32 × 5

Prime150180Lowest power
22222
33323
55255

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
15016515
1501662
1501671
1501686
1501691
15017010
1501713
1501722
1501731
1501746
15017525
1501762
1501773
1501782
1501791
15018030
1501811
1501822
1501833
1501842
1501855
1501866
1501871
1501882
1501893
15019010
1501911
1501926
1501931
1501942

FAQ

What is the Greatest Common Divisor of 150 and 180?

GCF (HCF) of 150 and 180 is 30

How to find the GCF of 150 and 180?

You can find the GCF of 150 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 180 is 30.

What prime factors do 150 and 180 share?

The prime factorizations of 150 and 180 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

How does the GCF reduce the fraction 150/180?

Divide the numerator and the denominator by the GCF 30: 150 ÷ 30 = 5 and 180 ÷ 30 = 6. So 150/180 in lowest terms is 5/6.

See Also