What is the GCF of 60, 90 and 120?

What's the Greatest Common Factor (GCF) of 60, 90 and 120?

Answer

GCF of 60, 90 and 120 is

30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides all three: 60 ÷ 30 = 2, 90 ÷ 30 = 3, 120 ÷ 30 = 4 — and 2, 3 and 4 have no factor but 1 common to all of them, so no larger number divides all three.

60 = 2² × 3 × 5

90 = 2 × 3² × 5

120 = 2³ × 3 × 5

Prime	60	90	120	Lowest power
2	2²	2	2³	2
3	3	3²	3	3
5	5	5	5	5

GCF = 2 × 3 × 5 = 30

More with these numbers

Related Calculations

GCF Table

1st	2nd	3rd	GCF
60	90	105	15
60	90	106	2
60	90	107	1
60	90	108	6
60	90	109	1
60	90	110	10
60	90	111	3
60	90	112	2
60	90	113	1
60	90	114	6
60	90	115	5
60	90	116	2
60	90	117	3
60	90	118	2
60	90	119	1
60	90	120	30
60	90	121	1
60	90	122	2
60	90	123	3
60	90	124	2
60	90	125	5
60	90	126	6
60	90	127	1
60	90	128	2
60	90	129	3
60	90	130	10
60	90	131	1
60	90	132	6
60	90	133	1
60	90	134	2

GCF for 60, 90 and 120

What's the Greatest Common Factor (GCF) of 60, 90 and 120?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 60, 90 and 120?

What prime factors do 60, 90 and 120 share?

Can you get the GCF of 60, 90 and 120 two numbers at a time?

How does the GCF simplify the ratio 60 : 90 : 120?

See Also

1st	2nd	3rd	GCF
60	90	105	15
60	90	106	2
60	90	107	1
60	90	108	6
60	90	109	1
60	90	110	10
60	90	111	3
60	90	112	2
60	90	113	1
60	90	114	6
60	90	115	5
60	90	116	2
60	90	117	3
60	90	118	2
60	90	119	1
60	90	120	30
60	90	121	1
60	90	122	2
60	90	123	3
60	90	124	2
60	90	125	5
60	90	126	6
60	90	127	1
60	90	128	2
60	90	129	3
60	90	130	10
60	90	131	1
60	90	132	6
60	90	133	1
60	90	134	2

1st	2nd	3rd	GCF
60	90	105	15
60	90	106	2
60	90	107	1
60	90	108	6
60	90	109	1
60	90	110	10
60	90	111	3
60	90	112	2
60	90	113	1
60	90	114	6
60	90	115	5
60	90	116	2
60	90	117	3
60	90	118	2
60	90	119	1
60	90	120	30
60	90	121	1
60	90	122	2
60	90	123	3
60	90	124	2
60	90	125	5
60	90	126	6
60	90	127	1
60	90	128	2
60	90	129	3
60	90	130	10
60	90	131	1
60	90	132	6
60	90	133	1
60	90	134	2

1st	2nd	3rd	GCF
60	90	105	15
60	90	106	2
60	90	107	1
60	90	108	6
60	90	109	1
60	90	110	10
60	90	111	3
60	90	112	2
60	90	113	1
60	90	114	6
60	90	115	5
60	90	116	2
60	90	117	3
60	90	118	2
60	90	119	1
60	90	120	30
60	90	121	1
60	90	122	2
60	90	123	3
60	90	124	2
60	90	125	5
60	90	126	6
60	90	127	1
60	90	128	2
60	90	129	3
60	90	130	10
60	90	131	1
60	90	132	6
60	90	133	1
60	90	134	2