GCF for 36 and 18

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 36 and 18?

Answer: GCF of 36 and 18 is 18

(Eighteen)

Finding GCF for 36 and 18 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 18 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 18: 1, 2, 3, 6, 9, 18

So the Greatest Common Factor for 36 and 18 is 18

Finding GCF for 36 and 18 by Prime Factorization

The second method to find GCF for numbers 36 and 18 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 18: 2, 3, 3

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 18? (The answer is: 18). Select the first number (e.g. '36') and the second number (e.g. '18'). 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
21183
22182
23181
24186
25181
26182
27189
28182
29181
30186
31181
32182
33183
34182
35181
361818
37181
38182
39183
40182
41181
42186
43181
44182
45189
46182
47181
48186
49181
50182

FAQ

What is the Greatest common Divisor of 36 and 18?

GCF of 36 and 18 is 18

See Also