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GCF of 15 and 5 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 15 and 5?

Answer

GCF of 15 and 5 is 5

(Five)

Finding GCF for 15 and 5 using all factors (divisors) listing

The first method to find GCF for numbers 15 and 5 is to list all factors for both numbers and pick the highest common one:

All factors of 15: 1, 3, 5, 15

All factors of 5: 1, 5

So the Greatest Common Factor for 15 and 5 is 5

Finding GCF for 15 and 5 by Prime Factorization

The second method to find GCF for numbers 15 and 5 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 15: 3, 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 15 and 5

See Also

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What is the GCF of 15 and 5. The GCF of 15 and 5 is 5 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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GCF Table

Number 1Number 2GCF
1555
1563
1593
15105
15123
15161
15171
15183
15205
15213
15221
15231
15243
15255
15261
15273
15281
15291
153015
15321
15333
15355
15363
15381
15405
15423
15441
154515
15483
15491

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 15 and 5? (The answer is: 5). Select the first number (e.g. '15') 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