GCF (HCF) of 10 and 8

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What is the Greatest Common Divisor of 10 and 8?

Answer

GCF (HCF) of 10 and 8 is
2

Common factors: 1, 2

2 divides both: 10 ÷ 2 = 5, 8 ÷ 2 = 4 — and 5 and 4 share no factor but 1, so no larger number divides both.

10 = 2 × 5

8 = 23

Prime108Lowest power
22232
55——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
1055
1082
10111
10122
10131
10142
10155
10162
10182
102010
10211
10222
10231
10242
10255
10262
10271
10282
10291
103010
10322
10331
10342
10355
10362
10382
10391
104010
10431
10442

FAQ

What is the Greatest Common Divisor of 10 and 8?

GCF (HCF) of 10 and 8 is 2

How to find the GCF of 10 and 8?

You can find the GCF of 10 and 8 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 8 is 2.

What prime factors do 10 and 8 share?

The prime factorizations of 10 and 8 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 10/8?

Divide the numerator and the denominator by the GCF 2: 10 ÷ 2 = 5 and 8 ÷ 2 = 4. So 10/8 in lowest terms is 5/4.

See Also