GCF for 120, 144 and 324

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 120, 144 and 324?

Answer

GCF of 120, 144 and 324 is

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

12 divides all three: 120 ÷ 12 = 10, 144 ÷ 12 = 12, 324 ÷ 12 = 27 — and 10, 12 and 27 have no factor but 1 common to all of them, so no larger number divides all three.

120 = 2³ × 3 × 5

144 = 2⁴ × 3²

324 = 2² × 3⁴

Prime	120	144	324	Lowest power
2	2³	2⁴	2²	2²
3	3	3²	3⁴	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

1st	2nd	3rd	GCF
120	144	309	3
120	144	310	2
120	144	311	1
120	144	312	24
120	144	313	1
120	144	314	2
120	144	315	3
120	144	316	4
120	144	317	1
120	144	318	6
120	144	319	1
120	144	320	8
120	144	321	3
120	144	322	2
120	144	323	1
120	144	324	12
120	144	325	1
120	144	326	2
120	144	327	3
120	144	328	8
120	144	329	1
120	144	330	6
120	144	331	1
120	144	332	4
120	144	333	3
120	144	334	2
120	144	335	1
120	144	336	24
120	144	337	1
120	144	338	2

FAQ

What's the Greatest Common Factor (GCF) of 120, 144 and 324?

GCF of 120, 144 and 324 is 12

What prime factors do 120, 144 and 324 share?

All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

Can you get the GCF of 120, 144 and 324 two numbers at a time?

Yes. The GCF of 120 and 144 is 24, and the GCF of 24 and 324 is 12 — 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 120 : 144 : 324?

Divide every term by the GCF 12: 120 ÷ 12 = 10, 144 ÷ 12 = 12 and 324 ÷ 12 = 27. So 120 : 144 : 324 in lowest terms is 10 : 12 : 27, and no whole number other than 1 divides all three of those.

GCF for 120, 144 and 324

What's the Greatest Common Factor (GCF) of 120, 144 and 324?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 120, 144 and 324?

What prime factors do 120, 144 and 324 share?

Can you get the GCF of 120, 144 and 324 two numbers at a time?

How does the GCF simplify the ratio 120 : 144 : 324?

See Also

1st	2nd	3rd	GCF
120	144	309	3
120	144	310	2
120	144	311	1
120	144	312	24
120	144	313	1
120	144	314	2
120	144	315	3
120	144	316	4
120	144	317	1
120	144	318	6
120	144	319	1
120	144	320	8
120	144	321	3
120	144	322	2
120	144	323	1
120	144	324	12
120	144	325	1
120	144	326	2
120	144	327	3
120	144	328	8
120	144	329	1
120	144	330	6
120	144	331	1
120	144	332	4
120	144	333	3
120	144	334	2
120	144	335	1
120	144	336	24
120	144	337	1
120	144	338	2

1st	2nd	3rd	GCF
120	144	309	3
120	144	310	2
120	144	311	1
120	144	312	24
120	144	313	1
120	144	314	2
120	144	315	3
120	144	316	4
120	144	317	1
120	144	318	6
120	144	319	1
120	144	320	8
120	144	321	3
120	144	322	2
120	144	323	1
120	144	324	12
120	144	325	1
120	144	326	2
120	144	327	3
120	144	328	8
120	144	329	1
120	144	330	6
120	144	331	1
120	144	332	4
120	144	333	3
120	144	334	2
120	144	335	1
120	144	336	24
120	144	337	1
120	144	338	2

1st	2nd	3rd	GCF
120	144	309	3
120	144	310	2
120	144	311	1
120	144	312	24
120	144	313	1
120	144	314	2
120	144	315	3
120	144	316	4
120	144	317	1
120	144	318	6
120	144	319	1
120	144	320	8
120	144	321	3
120	144	322	2
120	144	323	1
120	144	324	12
120	144	325	1
120	144	326	2
120	144	327	3
120	144	328	8
120	144	329	1
120	144	330	6
120	144	331	1
120	144	332	4
120	144	333	3
120	144	334	2
120	144	335	1
120	144	336	24
120	144	337	1
120	144	338	2