GCF (HCF) of 108 and 48

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 48?

Answer

GCF (HCF) of 108 and 48 is

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

12 divides both: 108 ÷ 12 = 9, 48 ÷ 12 = 4 — and 9 and 4 share no factor but 1, so no larger number divides both.

108 = 2² × 3³

48 = 2⁴ × 3

Prime	108	48	Lowest power
2	2²	2⁴	2²
3	3³	3	3

GCF = 2² × 3 = 12

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Related Calculations

GCF Table

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2

FAQ

What is the Greatest Common Divisor of 108 and 48?

GCF (HCF) of 108 and 48 is 12

How to find the GCF of 108 and 48?

You can find the GCF of 108 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 48 is 12.

What prime factors do 108 and 48 share?

The prime factorizations of 108 and 48 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 108/48?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 48 ÷ 12 = 4. So 108/48 in lowest terms is 9/4.

GCF (HCF) of 108 and 48

What is the Greatest Common Divisor of 108 and 48?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 48?

How to find the GCF of 108 and 48?

What prime factors do 108 and 48 share?

How does the GCF reduce the fraction 108/48?

See Also

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2

Number 1	Number 2	GCF
108	33	3
108	34	2
108	35	1
108	36	36
108	37	1
108	38	2
108	39	3
108	40	4
108	41	1
108	42	6
108	43	1
108	44	4
108	45	9
108	46	2
108	47	1
108	48	12
108	49	1
108	50	2
108	51	3
108	52	4
108	53	1
108	54	54
108	55	1
108	56	4
108	57	3
108	58	2
108	59	1
108	60	12
108	61	1
108	62	2