GCF for 6 and 66

What is the Greatest Common Factor of 6 and 66?

Answer: GCF of 6 and 66 is 6

(Six)

Finding GCF for 6 and 66 using all factors (divisors) listing

The first method to find GCF for numbers 6 and 66 is to list all factors for both numbers and pick the highest common one:

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

All factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

So the Greatest Common Factor for 6 and 66 is 6

Finding GCF for 6 and 66 by Prime Factorization

The second method to find GCF for numbers 6 and 66 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 6: 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

GCF Table

Number 1Number 2GCF
1661
2662
3663
4662
5661
6666
7661
8662
9663
10662
116611
1266
13661
14662
15663
16662
17661
1866
19661
20662
21663
2266
23661
2466
25661
26662
27663
28662
29661
3066

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 Factor of 6 and 66? (The answer is: 6). Select the first number (e.g. '6') 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

FAQ

What is the Greatest Common Factor of 6 and 66?

GCF of 6 and 66 is 6