GCF for 10, 25 and 56

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 10, 25 and 56?

Answer

GCF of 10, 25 and 56 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 10, 25 and 56.

Pairs do share factors — GCF(10, 25) = 5, GCF(10, 56) = 2 — just none greater than 1 common to all three.

10 = 2 × 5

25 = 52

56 = 23 × 7

Prime102556Lowest power
22—23—
5552——
7——7—

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

GCF = 1

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GCF Table

1st2nd3rdGCF
1025411
1025421
1025431
1025441
1025455
1025461
1025471
1025481
1025491
1025505
1025511
1025521
1025531
1025541
1025555
1025561
1025571
1025581
1025591
1025605
1025611
1025621
1025631
1025641
1025655
1025661
1025671
1025681
1025691
1025705

FAQ

What's the Greatest Common Factor (GCF) of 10, 25 and 56?

GCF of 10, 25 and 56 is 1

What prime factors do 10, 25 and 56 share?

None at all: 10, 25 and 56 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 10, 25 and 56 two numbers at a time?

Yes. The GCF of 10 and 25 is 5, and the GCF of 5 and 56 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 10 : 25 : 56?

Divide every term by the GCF 1: 10 ÷ 1 = 10, 25 ÷ 1 = 25 and 56 ÷ 1 = 56. So 10 : 25 : 56 in lowest terms is 10 : 25 : 56, and no whole number other than 1 divides all three of those.

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