GCF (HCF) of 108 and 132

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 132?

Answer

GCF (HCF) of 108 and 132 is

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

12 divides both: 108 ÷ 12 = 9, 132 ÷ 12 = 11 — and 9 and 11 share no factor but 1, so no larger number divides both.

108 = 2² × 3³

132 = 2² × 3 × 11

Prime	108	132	Lowest power
2	2²	2²	2²
3	3³	3	3
11	—	11	—

— = 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	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
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2

FAQ

What is the Greatest Common Divisor of 108 and 132?

GCF (HCF) of 108 and 132 is 12

How to find the GCF of 108 and 132?

You can find the GCF of 108 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 132 is 12.

What prime factors do 108 and 132 share?

The prime factorizations of 108 and 132 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 108/132?

Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 132 ÷ 12 = 11. So 108/132 in lowest terms is 9/11.

GCF (HCF) of 108 and 132

What is the Greatest Common Divisor of 108 and 132?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 132?

How to find the GCF of 108 and 132?

What prime factors do 108 and 132 share?

How does the GCF reduce the fraction 108/132?

See Also

Number 1	Number 2	GCF
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
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2

Number 1	Number 2	GCF
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
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2

Number 1	Number 2	GCF
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
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2