GCF for 2, 3 and 5

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
,
and

What's the Greatest Common Factor (GCF) of 2, 3 and 5?

Answer

GCF of 2, 3 and 5 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 2, 3 and 5.

The three numbers are pairwise coprime: no two of them share a factor other than 1.

2 — prime

3 — prime

5 — prime

Prime235Lowest power
22———
3—3——
5——5—

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

GCF = 1

See Also

GCF Table

1st2nd3rdGCF
1231
2231
2331
2341
2351
2361
2371
2381
2391
23101
23111
23121
23131
23141
23151
23161
23171
23181
23191
23201
23211
23221
23231
23241
23251
23261
23271
23281
23291
23301

FAQ

What's the Greatest Common Factor (GCF) of 2, 3 and 5?

GCF of 2, 3 and 5 is 1

What prime factors do 2, 3 and 5 share?

None at all: 2, 3 and 5 have no prime factor in common, so the only positive integer dividing all three is 1 and their GCF is 1.

Can you get the GCF of 2, 3 and 5 two numbers at a time?

Yes. The GCF of 2 and 3 is 1, and the GCF of 1 and 5 is 1 — 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 2 : 3 : 5?

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