GCF (HCF) of 48 and 32

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 48 and 32?

Answer

GCF (HCF) of 48 and 32 is

Common factors: 1, 2, 4, 8, 16

16 divides both: 48 ÷ 16 = 3, 32 ÷ 16 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

48 = 2⁴ × 3

32 = 2⁵

Prime	48	32	Lowest power
2	2⁴	2⁵	2⁴
3	3	—	—

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

GCF = 2⁴ = 16

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 32?

GCF (HCF) of 48 and 32 is 16

How to find the GCF of 48 and 32?

You can find the GCF of 48 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 32 is 16.

What prime factors do 48 and 32 share?

The prime factorizations of 48 and 32 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 48/32?

Divide the numerator and the denominator by the GCF 16: 48 ÷ 16 = 3 and 32 ÷ 16 = 2. So 48/32 in lowest terms is 3/2.

GCF (HCF) of 48 and 32

What is the Greatest Common Divisor of 48 and 32?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 48 and 32?

How to find the GCF of 48 and 32?

What prime factors do 48 and 32 share?

How does the GCF reduce the fraction 48/32?

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