GCF of 10 and 8 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 10 and 8?

Answer

GCF of 10 and 8 is 2

(Two)

Finding GCF for 10 and 8 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 8 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

All factors of 8: 1, 2, 4, 8

So the Greatest Common Factor for 10 and 8 is 2

Finding GCF for 10 and 8 by Prime Factorization

The second method to find GCF for numbers 10 and 8 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 8: 2, 2, 2

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 10 and 8

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 10 and 8? (The answer is: 2). Select the first number (e.g. '10') and the second number (e.g. '8'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1055
1082
10111
10122
10131
10142
10155
10162
10182
10191
102010
10211
10222
10231
10242
10255
10262
10282
10291
103010
10322
10331
10342
10355
10362
10371
10382
10391
104010
10431

FAQ

What is the Greatest Common Divisor of 10 and 8?

GCF 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.

See Also