GCF for 25, 35 and 45

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 25, 35 and 45?

Answer

GCF of 25, 35 and 45 is
5

Common factors: 1, 5

5 divides all three: 25 ÷ 5 = 5, 35 ÷ 5 = 7, 45 ÷ 5 = 9 — and 5, 7 and 9 have no factor but 1 common to all of them, so no larger number divides all three.

25 = 52

35 = 5 × 7

45 = 32 × 5

Prime253545Lowest power
3——32—
552555
7—7——

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

GCF = 5

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GCF Table

1st2nd3rdGCF
2530355
2531351
2532351
2533351
2534351
2535355
2535361
2535371
2535381
2535391
2535405
2535411
2535421
2535431
2535441
2535455
2535461
2535471
2535481
2535491
2535505
2535511
2535521
2535531
2535541
2535555
2535561
2535571
2535581
2535591

FAQ

What's the Greatest Common Factor (GCF) of 25, 35 and 45?

GCF of 25, 35 and 45 is 5

What prime factors do 25, 35 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 25, 35 and 45 two numbers at a time?

Yes. The GCF of 25 and 35 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 25 : 35 : 45?

Divide every term by the GCF 5: 25 ÷ 5 = 5, 35 ÷ 5 = 7 and 45 ÷ 5 = 9. So 25 : 35 : 45 in lowest terms is 5 : 7 : 9, and no whole number other than 1 divides all three of those.

See Also