GCF of 10 and 500 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 10 and 500?

Answer

GCF of 10 and 500 is 10

(Ten)

Finding GCF for 10 and 500 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 500 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 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

So the Greatest Common Factor for 10 and 500 is 10

Finding GCF for 10 and 500 by Prime Factorization

The second method to find GCF for numbers 10 and 500 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 500: 2, 2, 5, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

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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 500? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '500'). 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
10522
10531
10542
10555
10562
10571
10591
106010
1010010
101155
101655
1017010
1018010
1020010
1021010
1023010
1024010
102755
1029010
1030010
1031010
1032010
103655
103755
103955
104155
1043010
104755
104855
1050010

FAQ

What is the Greatest Common Divisor of 10 and 500?

GCF of 10 and 500 is 10

How to find the GCF of 10 and 500?

You can find the GCF of 10 and 500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 500 is 10.

See Also