GCF for 10 and 5

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 10 and 5?

Answer: GCF of 10 and 5 is 5

(Five)

Finding GCF for 10 and 5 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 5 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 5: 1, 5

So the Greatest Common Factor for 10 and 5 is 5

Finding GCF for 10 and 5 by Prime Factorization

The second method to find GCF for numbers 10 and 5 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 5: 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 10 and 5

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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 5? (The answer is: 5). Select the first number (e.g. '10') and the second number (e.g. '5'). 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
151
251
351
451
555
651
751
851
951
1055
1151
1251
1351
1451
1555
1651
1751
1851
1951
2055
2151
2251
2351
2451
2555
2651
2751
2851
2951
3055

FAQ

What is the Greatest common Divisor of 10 and 5?

GCF of 10 and 5 is 5

See Also