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GCF (HCF) of 60 and 72

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 60 and 72?

Answer

GCF (HCF) of 60 and 72 is

12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 60 ÷ 12 = 5, 72 ÷ 12 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

60 = 2² × 3 × 5

72 = 2³ × 3²

Prime	60	72	Lowest power
2	2²	2³	2²
3	3	3²	3
5	5	—	—

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

GCF = 2² × 3 = 12

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 60 and 72. The GCF of 60 and 72 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
60	60	60
60	66	6
60	70	10
60	72	12
60	75	15
60	80	20
60	90	30
60	100	20
60	105	15
60	108	12
60	110	10
60	115	5
60	120	60
60	132	12
60	135	15
60	140	20
60	145	5
60	150	30
60	165	15
60	170	10
60	175	5
60	180	60
60	185	5
60	195	15
60	200	20
60	205	5
60	210	30
60	220	20
60	225	15
60	245	5

FAQ

What is the Greatest Common Divisor of 60 and 72?

GCF (HCF) of 60 and 72 is 12

How to find the GCF of 60 and 72?

You can find the GCF of 60 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 72 is 12.

What prime factors do 60 and 72 share?

The prime factorizations of 60 and 72 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 60/72?

Divide the numerator and the denominator by the GCF 12: 60 ÷ 12 = 5 and 72 ÷ 12 = 6. So 60/72 in lowest terms is 5/6.