GCF (HCF) of 60 and 470

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What is the Greatest Common Divisor of 60 and 470?

Answer

GCF (HCF) of 60 and 470 is
10

Common factors: 1, 2, 5, 10

10 divides both: 60 ÷ 10 = 6, 470 ÷ 10 = 47 — and 6 and 47 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

470 = 2 × 5 × 47

Prime60470Lowest power
22222
33——
5555
47—47—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020
602755
6029010
603255
603355
603555
6037515
603855
6039030
6040020
6042060
604255
6043010
6043515
6045030
6046020
6047010
6049515

FAQ

What is the Greatest Common Divisor of 60 and 470?

GCF (HCF) of 60 and 470 is 10

How to find the GCF of 60 and 470?

You can find the GCF of 60 and 470 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 470 is 10.

What prime factors do 60 and 470 share?

The prime factorizations of 60 and 470 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/470?

Divide the numerator and the denominator by the GCF 10: 60 ÷ 10 = 6 and 470 ÷ 10 = 47. So 60/470 in lowest terms is 6/47.

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