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GCF (HCF) of 48 and 72

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What is the Greatest Common Divisor of 48 and 72?

Answer

GCF (HCF) of 48 and 72 is

24

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

24 divides both: 48 ÷ 24 = 2, 72 ÷ 24 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

48 = 2⁴ × 3

72 = 2³ × 3²

Prime	48	72	Lowest power
2	2⁴	2³	2³
3	3	3²	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 48 and 72. The GCF of 48 and 72 is 24 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/48--72/generated.jpg

GCF Table

Number 1	Number 2	GCF
48	12	12
48	32	16
48	36	12
48	49	1
48	50	2
48	51	3
48	52	4
48	53	1
48	54	6
48	56	8
48	57	3
48	58	2
48	59	1
48	60	12
48	64	16
48	66	6
48	72	24
48	75	3
48	80	16
48	81	3
48	84	12
48	90	6
48	96	48
48	99	3
48	100	4
48	120	24
48	128	16
48	168	24
48	450	6

FAQ

What is the Greatest Common Divisor of 48 and 72?

GCF (HCF) of 48 and 72 is 24

How to find the GCF of 48 and 72?

You can find the GCF of 48 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 72 is 24.

What prime factors do 48 and 72 share?

The prime factorizations of 48 and 72 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 48/72?

Divide the numerator and the denominator by the GCF 24: 48 ÷ 24 = 2 and 72 ÷ 24 = 3. So 48/72 in lowest terms is 2/3.