GCF (HCF) of 60 and 205

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What is the Greatest Common Divisor of 60 and 205?

Answer

GCF (HCF) of 60 and 205 is
5

Common factors: 1, 5

5 divides both: 60 ÷ 5 = 12, 205 ÷ 5 = 41 — and 12 and 41 share no factor but 1, so no larger number divides both.

60 = 22 × 3 × 5

205 = 5 × 41

Prime60205Lowest power
222——
33——
5555
41—41—

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

GCF = 5

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GCF Table

Number 1Number 2GCF
6011010
601155
6012060
6013212
6013515
6014020
601455
6015030
6016515
6017010
601755
6018060
601855
6019515
6020020
602055
6021030
6022020
6022515
602455
6025010
6026020
602755
6029010
603255
603355
603555
6037515
603855
6039030

FAQ

What is the Greatest Common Divisor of 60 and 205?

GCF (HCF) of 60 and 205 is 5

How to find the GCF of 60 and 205?

You can find the GCF of 60 and 205 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 205 is 5.

What prime factors do 60 and 205 share?

The prime factorizations of 60 and 205 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/205?

Divide the numerator and the denominator by the GCF 5: 60 ÷ 5 = 12 and 205 ÷ 5 = 41. So 60/205 in lowest terms is 12/41.

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