GCF for 36 and 45

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 36 and 45?

Answer

GCF of 36 and 45 is 9

(Nine)

Finding GCF for 36 and 45 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 45 is to list all factors for both numbers and pick the highest common one:

All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

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

So the Greatest Common Factor for 36 and 45 is 9

Finding GCF for 36 and 45 by Prime Factorization

The second method to find GCF for numbers 36 and 45 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 36: 2, 2, 3, 3

All Prime Factors of 45: 3, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 3

Now we need to multiply them to find GCF: 3 × 3 = 9

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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 36 and 45? (The answer is: 9). Select the first number (e.g. '36') and the second number (e.g. '45'). 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
21453
22451
23451
24453
25455
26451
27459
28451
29451
304515
31451
32451
33453
34451
35455
36459
37451
38451
39453
40455
41451
42453
43451
44451
454545
46451
47451
48453
49451
50455

FAQ

What is the Greatest Common Divisor of 36 and 45?

GCF of 36 and 45 is 9

How to find the GCF of 36 and 45?

You can find the GCF of 36 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 45 is 9.

See Also