GCF for 42, 126 and 210

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 42, 126 and 210?

Answer

GCF of 42, 126 and 210 is

Common factors: 1, 2, 3, 6, 7, 14, 21, 42

42 divides all three: 42 ÷ 42 = 1, 126 ÷ 42 = 3, 210 ÷ 42 = 5 — and 1, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

42 = 2 × 3 × 7

126 = 2 × 3² × 7

210 = 2 × 3 × 5 × 7

Prime	42	126	210	Lowest power
2	2	2	2	2
3	3	3²	3	3
5	—	—	5	—
7	7	7	7	7

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

GCF = 2 × 3 × 7 = 42

Related Calculations

GCF Table

1st	2nd	3rd	GCF
42	126	195	3
42	126	196	14
42	126	197	1
42	126	198	6
42	126	199	1
42	126	200	2
42	126	201	3
42	126	202	2
42	126	203	7
42	126	204	6
42	126	205	1
42	126	206	2
42	126	207	3
42	126	208	2
42	126	209	1
42	126	210	42
42	126	211	1
42	126	212	2
42	126	213	3
42	126	214	2
42	126	215	1
42	126	216	6
42	126	217	7
42	126	218	2
42	126	219	3
42	126	220	2
42	126	221	1
42	126	222	6
42	126	223	1
42	126	224	14

FAQ

What's the Greatest Common Factor (GCF) of 42, 126 and 210?

GCF of 42, 126 and 210 is 42

What prime factors do 42, 126 and 210 share?

All three factorizations contain 2 × 3 × 7, and multiplying those shared primes gives 42 — exactly the greatest common factor.

Can you get the GCF of 42, 126 and 210 two numbers at a time?

Yes. The GCF of 42 and 126 is 42, and the GCF of 42 and 210 is 42 — 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 42 : 126 : 210?

Divide every term by the GCF 42: 42 ÷ 42 = 1, 126 ÷ 42 = 3 and 210 ÷ 42 = 5. So 42 : 126 : 210 in lowest terms is 1 : 3 : 5, and no whole number other than 1 divides all three of those.

GCF for 42, 126 and 210

What's the Greatest Common Factor (GCF) of 42, 126 and 210?

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 42, 126 and 210?

What prime factors do 42, 126 and 210 share?

Can you get the GCF of 42, 126 and 210 two numbers at a time?

How does the GCF simplify the ratio 42 : 126 : 210?

See Also

1st	2nd	3rd	GCF
42	126	195	3
42	126	196	14
42	126	197	1
42	126	198	6
42	126	199	1
42	126	200	2
42	126	201	3
42	126	202	2
42	126	203	7
42	126	204	6
42	126	205	1
42	126	206	2
42	126	207	3
42	126	208	2
42	126	209	1
42	126	210	42
42	126	211	1
42	126	212	2
42	126	213	3
42	126	214	2
42	126	215	1
42	126	216	6
42	126	217	7
42	126	218	2
42	126	219	3
42	126	220	2
42	126	221	1
42	126	222	6
42	126	223	1
42	126	224	14

1st	2nd	3rd	GCF
42	126	195	3
42	126	196	14
42	126	197	1
42	126	198	6
42	126	199	1
42	126	200	2
42	126	201	3
42	126	202	2
42	126	203	7
42	126	204	6
42	126	205	1
42	126	206	2
42	126	207	3
42	126	208	2
42	126	209	1
42	126	210	42
42	126	211	1
42	126	212	2
42	126	213	3
42	126	214	2
42	126	215	1
42	126	216	6
42	126	217	7
42	126	218	2
42	126	219	3
42	126	220	2
42	126	221	1
42	126	222	6
42	126	223	1
42	126	224	14

1st	2nd	3rd	GCF
42	126	195	3
42	126	196	14
42	126	197	1
42	126	198	6
42	126	199	1
42	126	200	2
42	126	201	3
42	126	202	2
42	126	203	7
42	126	204	6
42	126	205	1
42	126	206	2
42	126	207	3
42	126	208	2
42	126	209	1
42	126	210	42
42	126	211	1
42	126	212	2
42	126	213	3
42	126	214	2
42	126	215	1
42	126	216	6
42	126	217	7
42	126	218	2
42	126	219	3
42	126	220	2
42	126	221	1
42	126	222	6
42	126	223	1
42	126	224	14