GCF for 12 and 26

What is the Greatest Common Factor of 12 and 26?

Answer: GCF of 12 and 26 is 2

(Two)

Finding GCF for 12 and 26 using all factors (divisors) listing

The first method to find GCF for numbers 12 and 26 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 26: 1, 2, 13, 26

So the Greatest Common Factor for 12 and 26 is 2

Finding GCF for 12 and 26 by Prime Factorization

The second method to find GCF for numbers 12 and 26 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 26: 2, 13

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 12 and 26

GCF Table

Number 1Number 2GCF
1261
2262
3261
426
5261
6262
7261
8262
9261
10262
11261
1226
1326
1426
1526
1626
17261
1826
19261
2026
2126
22262
23261
2426
2526
262626
27261
28262
29261
30262

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 12 and 26? (The answer is: 2). Select the first number (e.g. '12') and the second number (e.g. '26'). 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 12 and 26?

GCF of 12 and 26 is 2