GCF (HCF) of 72 and 108

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 108?

Answer

GCF (HCF) of 72 and 108 is

Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

36 divides both: 72 ÷ 36 = 2, 108 ÷ 36 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

108 = 2² × 3³

Prime	72	108	Lowest power
2	2³	2²	2²
3	3²	3³	3²

GCF = 2² × 3² = 36

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1
72	114	6
72	115	1
72	116	4
72	117	9
72	118	2
72	119	1
72	120	24
72	121	1
72	122	2

FAQ

What is the Greatest Common Divisor of 72 and 108?

GCF (HCF) of 72 and 108 is 36

How to find the GCF of 72 and 108?

You can find the GCF of 72 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 108 is 36.

What prime factors do 72 and 108 share?

The prime factorizations of 72 and 108 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/108?

Divide the numerator and the denominator by the GCF 36: 72 ÷ 36 = 2 and 108 ÷ 36 = 3. So 72/108 in lowest terms is 2/3.

GCF (HCF) of 72 and 108

What is the Greatest Common Divisor of 72 and 108?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 108?

How to find the GCF of 72 and 108?

What prime factors do 72 and 108 share?

How does the GCF reduce the fraction 72/108?

See Also

Number 1	Number 2	GCF
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1
72	114	6
72	115	1
72	116	4
72	117	9
72	118	2
72	119	1
72	120	24
72	121	1
72	122	2

Number 1	Number 2	GCF
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1
72	114	6
72	115	1
72	116	4
72	117	9
72	118	2
72	119	1
72	120	24
72	121	1
72	122	2

Number 1	Number 2	GCF
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1
72	114	6
72	115	1
72	116	4
72	117	9
72	118	2
72	119	1
72	120	24
72	121	1
72	122	2