GCF for 60, 90 and 120

"Greatest Common Factor of 3 Numbers" Calculator

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

Answer

GCF of 60, 90 and 120 is

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

FAQ

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

GCF of 60, 90 and 120 is 30

What prime factors do 60, 90 and 120 share?

All three factorizations contain 2 × 3 × 5, and multiplying those shared primes gives 30 — exactly the greatest common factor.

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

Yes. The GCF of 60 and 90 is 30, and the GCF of 30 and 120 is 30 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

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

Divide every term by the GCF 30: 60 ÷ 30 = 2, 90 ÷ 30 = 3 and 120 ÷ 30 = 4. So 60 : 90 : 120 in lowest terms is 2 : 3 : 4, and no whole number other than 1 divides all three of those.

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