What is the GCF of 42, 126 and 210?

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

Answer

GCF of 42, 126 and 210 is

42

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

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