GCF for 7, 8 and 9

"Greatest Common Factor of 3 Numbers" Calculator
Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 7, 8 and 9?

Answer

GCF of 7, 8 and 9 is
1

Common factors: 1

Only 1 divides all three: no prime is a factor of each of 7, 8 and 9.

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

7 — prime

8 = 23

9 = 32

Prime789Lowest power
2—23——
3——32—
77———

— = 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
1781
2781
3781
4781
5781
6781
7781
7881
7891
78101
78111
78121
78131
78141
78151
78161
78171
78181
78191
78201
78211
78221
78231
78241
78251
78261
78271
78281
78291
78301

FAQ

What's the Greatest Common Factor (GCF) of 7, 8 and 9?

GCF of 7, 8 and 9 is 1

What prime factors do 7, 8 and 9 share?

None at all: 7, 8 and 9 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 7, 8 and 9 two numbers at a time?

Yes. The GCF of 7 and 8 is 1, and the GCF of 1 and 9 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 7 : 8 : 9?

Divide every term by the GCF 1: 7 ÷ 1 = 7, 8 ÷ 1 = 8 and 9 ÷ 1 = 9. So 7 : 8 : 9 in lowest terms is 7 : 8 : 9, and no whole number other than 1 divides all three of those.

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