GCF (HCF) of 48 and 72

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 48 and 72?

Answer

GCF (HCF) of 48 and 72 is

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

More with these numbers

Related Calculations

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.

GCF (HCF) of 48 and 72

What is the Greatest Common Divisor of 48 and 72?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 48 and 72?

How to find the GCF of 48 and 72?

What prime factors do 48 and 72 share?

How does the GCF reduce the fraction 48/72?

See Also

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

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

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