GCF (HCF) of 60 and 100

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What is the Greatest Common Divisor of 60 and 100?

Answer

GCF (HCF) of 60 and 100 is
20

Common factors: 1, 2, 4, 5, 10, 20

20 divides both: 60 ÷ 20 = 3, 100 ÷ 20 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

100 = 22 × 52

Prime60100Lowest power
2222222
33——
55525

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

GCF = 22 × 5 = 20

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GCF Table

Number 1Number 2GCF
606060
60666
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

FAQ

What is the Greatest Common Divisor of 60 and 100?

GCF (HCF) of 60 and 100 is 20

How to find the GCF of 60 and 100?

You can find the GCF of 60 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 100 is 20.

What prime factors do 60 and 100 share?

The prime factorizations of 60 and 100 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/100?

Divide the numerator and the denominator by the GCF 20: 60 ÷ 20 = 3 and 100 ÷ 20 = 5. So 60/100 in lowest terms is 3/5.

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