GCF for 12 and 36

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 12 and 36?

Answer: GCF of 12 and 36 is 12

(Twelve)

Finding GCF for 12 and 36 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 36 is to list all factors for both numbers and pick the highest common one:

All factors of 12: 1, 2, 3, 4, 6, 12

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

So the Greatest Common Factor for 12 and 36 is 12

Finding GCF for 12 and 36 by Prime Factorization

The second method to find GCF for numbers 12 and 36 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 12: 2, 2, 3

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

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 12 and 36? (The answer is: 12). Select the first number (e.g. '12') and the second number (e.g. '36'). 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
1361
2362
3363
4364
5361
6366
7361
8364
9369
10362
11361
123612
13361
14362
15363
16364
17361
183618
19361
20364
21363
22362
23361
243612
25361
26362
27369
28364
29361
30366

FAQ

What is the Greatest common Divisor of 12 and 36?

GCF of 12 and 36 is 12

See Also