GCF for 36 and 84

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 36 and 84?

Answer

GCF of 36 and 84 is 12

(Twelve)

Finding GCF for 36 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 36 and 84 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 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

So the Greatest Common Factor for 36 and 84 is 12

Finding GCF for 36 and 84 by Prime Factorization

The second method to find GCF for numbers 36 and 84 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 84: 2, 2, 3, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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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 84? (The answer is: 12). Select the first number (e.g. '36') and the second number (e.g. '84'). 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 1 Number 2 GCF
21 84 21
22 84 2
23 84 1
24 84 12
25 84 1
26 84 2
27 84 3
28 84 28
29 84 1
30 84 6
31 84 1
32 84 4
33 84 3
34 84 2
35 84 7
36 84 12
37 84 1
38 84 2
39 84 3
40 84 4
41 84 1
42 84 42
43 84 1
44 84 4
45 84 3
46 84 2
47 84 1
48 84 12
49 84 7
50 84 2

FAQ

What is the Greatest Common Divisor of 36 and 84?
GCF of 36 and 84 is 12

How to find the GCF of 36 and 84?
You can find the GCF of 36 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 84 is 12.

See Also