GCF for 12 and 66

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 12 and 66?

Answer: GCF of 12 and 66 is 6

(Six)

Finding GCF for 12 and 66 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 66 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 66: 1, 2, 3, 6, 11, 22, 33, 66

So the Greatest Common Factor for 12 and 66 is 6

Finding GCF for 12 and 66 by Prime Factorization

The second method to find GCF for numbers 12 and 66 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 66: 2, 3, 11

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

Now we need to multiply them to find GCF: 2 × 3 = 6

Related Calculations

See Also

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 66? (The answer is: 6). Select the first number (e.g. '12') and the second number (e.g. '66'). 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
1661
2662
3663
4662
5661
6666
7661
8662
9663
10662
116611
12666
13661
14662
15663
16662
17661
18666
19661
20662
21663
226622
23661
24666
25661
26662
27663
28662
29661
30666

FAQ

What is the Greatest common Divisor of 12 and 66?

GCF of 12 and 66 is 6

See Also