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GCF (HCF) of 72 and 96

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What is the Greatest Common Divisor of 72 and 96?

Answer

GCF (HCF) of 72 and 96 is

24

Common factors: 1, 2, 3, 4, 6, 8, 12, 24

24 divides both: 72 ÷ 24 = 3, 96 ÷ 24 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

96 = 2⁵ × 3

Prime	72	96	Lowest power
2	2³	2⁵	2³
3	3²	3	3

GCF = 2³ × 3 = 24

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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 72 and 96. The GCF of 72 and 96 is 24 — 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
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2

FAQ

What is the Greatest Common Divisor of 72 and 96?

GCF (HCF) of 72 and 96 is 24

How to find the GCF of 72 and 96?

You can find the GCF of 72 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 96 is 24.

What prime factors do 72 and 96 share?

The prime factorizations of 72 and 96 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/96?

Divide the numerator and the denominator by the GCF 24: 72 ÷ 24 = 3 and 96 ÷ 24 = 4. So 72/96 in lowest terms is 3/4.