GCF for 56, 80 and 140

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 56, 80 and 140?

Answer

GCF of 56, 80 and 140 is

Common factors: 1, 2, 4

4 divides all three: 56 ÷ 4 = 14, 80 ÷ 4 = 20, 140 ÷ 4 = 35 — and 14, 20 and 35 have no factor but 1 common to all of them, so no larger number divides all three.

56 = 2³ × 7

80 = 2⁴ × 5

140 = 2² × 5 × 7

Prime	56	80	140	Lowest power
2	2³	2⁴	2²	2²
5	—	5	5	—
7	7	—	7	—

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

GCF = 2² = 4

More with these numbers

Related Calculations

GCF Table

1st	2nd	3rd	GCF
56	80	125	1
56	80	126	2
56	80	127	1
56	80	128	8
56	80	129	1
56	80	130	2
56	80	131	1
56	80	132	4
56	80	133	1
56	80	134	2
56	80	135	1
56	80	136	8
56	80	137	1
56	80	138	2
56	80	139	1
56	80	140	4
56	80	141	1
56	80	142	2
56	80	143	1
56	80	144	8
56	80	145	1
56	80	146	2
56	80	147	1
56	80	148	4
56	80	149	1
56	80	150	2
56	80	151	1
56	80	152	8
56	80	153	1
56	80	154	2

FAQ

What's the Greatest Common Factor (GCF) of 56, 80 and 140?

GCF of 56, 80 and 140 is 4

What prime factors do 56, 80 and 140 share?

All three factorizations contain 2 × 2, and multiplying those shared primes gives 4 — exactly the greatest common factor.

Can you get the GCF of 56, 80 and 140 two numbers at a time?

Yes. The GCF of 56 and 80 is 8, and the GCF of 8 and 140 is 4 — 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 56 : 80 : 140?

Divide every term by the GCF 4: 56 ÷ 4 = 14, 80 ÷ 4 = 20 and 140 ÷ 4 = 35. So 56 : 80 : 140 in lowest terms is 14 : 20 : 35, and no whole number other than 1 divides all three of those.

GCF for 56, 80 and 140

What's the Greatest Common Factor (GCF) of 56, 80 and 140?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 56, 80 and 140?

What prime factors do 56, 80 and 140 share?

Can you get the GCF of 56, 80 and 140 two numbers at a time?

How does the GCF simplify the ratio 56 : 80 : 140?

See Also

1st	2nd	3rd	GCF
56	80	125	1
56	80	126	2
56	80	127	1
56	80	128	8
56	80	129	1
56	80	130	2
56	80	131	1
56	80	132	4
56	80	133	1
56	80	134	2
56	80	135	1
56	80	136	8
56	80	137	1
56	80	138	2
56	80	139	1
56	80	140	4
56	80	141	1
56	80	142	2
56	80	143	1
56	80	144	8
56	80	145	1
56	80	146	2
56	80	147	1
56	80	148	4
56	80	149	1
56	80	150	2
56	80	151	1
56	80	152	8
56	80	153	1
56	80	154	2

1st	2nd	3rd	GCF
56	80	125	1
56	80	126	2
56	80	127	1
56	80	128	8
56	80	129	1
56	80	130	2
56	80	131	1
56	80	132	4
56	80	133	1
56	80	134	2
56	80	135	1
56	80	136	8
56	80	137	1
56	80	138	2
56	80	139	1
56	80	140	4
56	80	141	1
56	80	142	2
56	80	143	1
56	80	144	8
56	80	145	1
56	80	146	2
56	80	147	1
56	80	148	4
56	80	149	1
56	80	150	2
56	80	151	1
56	80	152	8
56	80	153	1
56	80	154	2

1st	2nd	3rd	GCF
56	80	125	1
56	80	126	2
56	80	127	1
56	80	128	8
56	80	129	1
56	80	130	2
56	80	131	1
56	80	132	4
56	80	133	1
56	80	134	2
56	80	135	1
56	80	136	8
56	80	137	1
56	80	138	2
56	80	139	1
56	80	140	4
56	80	141	1
56	80	142	2
56	80	143	1
56	80	144	8
56	80	145	1
56	80	146	2
56	80	147	1
56	80	148	4
56	80	149	1
56	80	150	2
56	80	151	1
56	80	152	8
56	80	153	1
56	80	154	2