GCF for 45 and 65

What is the Greatest common Divisor of 45 and 65?

Answer: GCF of 45 and 65 is 5

(Five)

Finding GCF for 45 and 65 using all factors (divisors) listing

The first method to find GCF for numbers 45 and 65 is to list all factors for both numbers and pick the highest common one:

All factors of 45: 1, 3, 5, 9, 15, 45

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

So the Greatest Common Factor for 45 and 65 is 5

Finding GCF for 45 and 65 by Prime Factorization

The second method to find GCF for numbers 45 and 65 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 45: 3, 3, 5

All Prime Factors of 65: 5, 13

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 45 and 65

See Also

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 45 and 65? (The answer is: 5). Select the first number (e.g. '45') 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

GCF Table

Number 1Number 2GCF
3065
31651
32651
33651
34651
3565
36651
37651
38651
3965
4065
41651
42651
43651
4465
4565
46651
47651
48651
49651
50655
5165
5265
53651
5465
5565
56651
57651
58651
59651

FAQ

What is the Greatest common Divisor of 45 and 65?

GCF of 45 and 65 is 5