GCF for 36 and 90

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 90?

Answer: GCF of 36 and 90 is 18

(Eighteen)

Finding GCF for 36 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 90 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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 36 and 90 is 18

Finding GCF for 36 and 90 by Prime Factorization

The second method to find GCF for numbers 36 and 90 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 90: 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 3

Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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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 90? (The answer is: 18). Select the first number (e.g. '36') and the second number (e.g. '90'). 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
21903
22902
23901
24906
25905
26902
27909
28902
29901
309030
31901
32902
33903
34902
35905
369018
37901
38902
39903
409010
41901
42906
43901
44902
459045
46902
47901
48906
49901
509010

FAQ

What is the Greatest common Divisor of 36 and 90?

GCF of 36 and 90 is 18

See Also