GCF (HCF) of 108 and 120

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 120?

Answer

GCF (HCF) of 108 and 120 is

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

12 divides both: 108 ÷ 12 = 9, 120 ÷ 12 = 10 — and 9 and 10 share no factor but 1, so no larger number divides both.

108 = 2² × 3³

120 = 2³ × 3 × 5

Prime	108	120	Lowest power
2	2²	2³	2²
3	3³	3	3
5	—	5	—

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

GCF = 2² × 3 = 12

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

FAQ

What is the Greatest Common Divisor of 108 and 120?

GCF (HCF) of 108 and 120 is 12

How to find the GCF of 108 and 120?

You can find the GCF of 108 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 120 is 12.

What prime factors do 108 and 120 share?

The prime factorizations of 108 and 120 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 108/120?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 120 ÷ 12 = 10. So 108/120 in lowest terms is 9/10.

GCF (HCF) of 108 and 120

What is the Greatest Common Divisor of 108 and 120?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 120?

How to find the GCF of 108 and 120?

What prime factors do 108 and 120 share?

How does the GCF reduce the fraction 108/120?

See Also

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2

Number 1	Number 2	GCF
108	105	3
108	106	2
108	107	1
108	108	108
108	109	1
108	110	2
108	111	3
108	112	4
108	113	1
108	114	6
108	115	1
108	116	4
108	117	9
108	118	2
108	119	1
108	120	12
108	121	1
108	122	2
108	123	3
108	124	4
108	125	1
108	126	18
108	127	1
108	128	4
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2