GCF for 10, 15 and 45

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 10, 15 and 45?

Answer

GCF of 10, 15 and 45 is

Common factors: 1, 5

5 divides all three: 10 ÷ 5 = 2, 15 ÷ 5 = 3, 45 ÷ 5 = 9 — and 2, 3 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

10 = 2 × 5

15 = 3 × 5

45 = 3² × 5

Prime	10	15	45	Lowest power
2	2	—	—	—
3	—	3	3²	—
5	5	5	5	5

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 5

More with these numbers

Related Calculations

GCF Table

1st	2nd	3rd	GCF
10	15	30	5
10	15	31	1
10	15	32	1
10	15	33	1
10	15	34	1
10	15	35	5
10	15	36	1
10	15	37	1
10	15	38	1
10	15	39	1
10	15	40	5
10	15	41	1
10	15	42	1
10	15	43	1
10	15	44	1
10	15	45	5
10	15	46	1
10	15	47	1
10	15	48	1
10	15	49	1
10	15	50	5
10	15	51	1
10	15	52	1
10	15	53	1
10	15	54	1
10	15	55	5
10	15	56	1
10	15	57	1
10	15	58	1
10	15	59	1

FAQ

What's the Greatest Common Factor (GCF) of 10, 15 and 45?

GCF of 10, 15 and 45 is 5

What prime factors do 10, 15 and 45 share?

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

Can you get the GCF of 10, 15 and 45 two numbers at a time?

Yes. The GCF of 10 and 15 is 5, and the GCF of 5 and 45 is 5 — 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 10 : 15 : 45?

Divide every term by the GCF 5: 10 ÷ 5 = 2, 15 ÷ 5 = 3 and 45 ÷ 5 = 9. So 10 : 15 : 45 in lowest terms is 2 : 3 : 9, and no whole number other than 1 divides all three of those.

GCF for 10, 15 and 45

What's the Greatest Common Factor (GCF) of 10, 15 and 45?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 10, 15 and 45?

What prime factors do 10, 15 and 45 share?

Can you get the GCF of 10, 15 and 45 two numbers at a time?

How does the GCF simplify the ratio 10 : 15 : 45?

See Also

1st	2nd	3rd	GCF
10	15	30	5
10	15	31	1
10	15	32	1
10	15	33	1
10	15	34	1
10	15	35	5
10	15	36	1
10	15	37	1
10	15	38	1
10	15	39	1
10	15	40	5
10	15	41	1
10	15	42	1
10	15	43	1
10	15	44	1
10	15	45	5
10	15	46	1
10	15	47	1
10	15	48	1
10	15	49	1
10	15	50	5
10	15	51	1
10	15	52	1
10	15	53	1
10	15	54	1
10	15	55	5
10	15	56	1
10	15	57	1
10	15	58	1
10	15	59	1

1st	2nd	3rd	GCF
10	15	30	5
10	15	31	1
10	15	32	1
10	15	33	1
10	15	34	1
10	15	35	5
10	15	36	1
10	15	37	1
10	15	38	1
10	15	39	1
10	15	40	5
10	15	41	1
10	15	42	1
10	15	43	1
10	15	44	1
10	15	45	5
10	15	46	1
10	15	47	1
10	15	48	1
10	15	49	1
10	15	50	5
10	15	51	1
10	15	52	1
10	15	53	1
10	15	54	1
10	15	55	5
10	15	56	1
10	15	57	1
10	15	58	1
10	15	59	1

1st	2nd	3rd	GCF
10	15	30	5
10	15	31	1
10	15	32	1
10	15	33	1
10	15	34	1
10	15	35	5
10	15	36	1
10	15	37	1
10	15	38	1
10	15	39	1
10	15	40	5
10	15	41	1
10	15	42	1
10	15	43	1
10	15	44	1
10	15	45	5
10	15	46	1
10	15	47	1
10	15	48	1
10	15	49	1
10	15	50	5
10	15	51	1
10	15	52	1
10	15	53	1
10	15	54	1
10	15	55	5
10	15	56	1
10	15	57	1
10	15	58	1
10	15	59	1