GCF of 13 and 65 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 13 and 65?

Answer

GCF of 13 and 65 is
13

(Thirteen)

Finding GCF for 13 and 65 using all factors (divisors) listing

The first method to find GCF for numbers 13 and 65 is to list all factors for both numbers and pick the highest common one:

All factors of 13: 1, 13

All factors of 65: 1, 5, 13, 65

So the Greatest Common Factor for 13 and 65 is 13

Finding GCF for 13 and 65 by Prime Factorization

The second method to find GCF for numbers 13 and 65 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 13: 13

All Prime Factors of 65: 5, 13

As we can see there is only one Prime Factor common to both numbers. It is 13

So 13 is the Greatest Common Factor of 13 and 65

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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 13 and 65? (The answer is: 13). Select the first number (e.g. '13') and the second number (e.g. '65'). 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
13231
13241
13251
132613
13271
13291
13301
13311
13321
13341
13351
13361
13371
13381
133913
13401
13411
13421
13451
13461
13471
13481
13501
135213
13541
13551
13561
13581
13601
136513

FAQ

What is the Greatest Common Divisor of 13 and 65?

GCF of 13 and 65 is 13

How to find the GCF of 13 and 65?

You can find the GCF of 13 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 65 is 13.

What prime factors do 13 and 65 share?

The prime factorizations of 13 and 65 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 13/65?

Divide the numerator and the denominator by the GCF 13: 13 ÷ 13 = 1 and 65 ÷ 13 = 5. So 13/65 in lowest terms is 1/5.

See Also