GCF (HCF) of 60 and 150

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What is the Greatest Common Divisor of 60 and 150?

Answer

GCF (HCF) of 60 and 150 is
30

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

30 divides both: 60 ÷ 30 = 2, 150 ÷ 30 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

150 = 2 × 3 × 52

Prime60150Lowest power
22222
3333
55525

GCF = 2 × 3 × 5 = 30

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GCF Table

Number 1Number 2GCF
607010
607212
607515
608020
609030
6010020
6010515
6010812
6011010
601155
6012060
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020

FAQ

What is the Greatest Common Divisor of 60 and 150?

GCF (HCF) of 60 and 150 is 30

How to find the GCF of 60 and 150?

You can find the GCF of 60 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 150 is 30.

What prime factors do 60 and 150 share?

The prime factorizations of 60 and 150 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 60/150?

Divide the numerator and the denominator by the GCF 30: 60 ÷ 30 = 2 and 150 ÷ 30 = 5. So 60/150 in lowest terms is 2/5.

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