GCF for 66 and 68

What is the Greatest Common Factor of 66 and 68?

Answer: GCF of 66 and 68 is 2

(Two)

Finding GCF for 66 and 68 using all factors (divisors) listing

The first method to find GCF for numbers 66 and 68 is to list all factors for both numbers and pick the highest common one:

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

All factors of 68: 1, 2, 4, 17, 34, 68

So the Greatest Common Factor for 66 and 68 is 2

Finding GCF for 66 and 68 by Prime Factorization

The second method to find GCF for numbers 66 and 68 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 66: 2, 3, 11

All Prime Factors of 68: 2, 2, 17

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 66 and 68

GCF Table

Number 1Number 2GCF
5168
52684
53681
54682
55681
5668
57681
58682
59681
60684
61681
62682
63681
64684
65681
66682
67681
686868
69681
70682
71681
72684
73681
74682
75681
76684
77681
78682
79681
80684

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 66 and 68? (The answer is: 2). Select the first number (e.g. '66') and the second number (e.g. '68'). 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 66 and 68?

GCF of 66 and 68 is 2