# Greatest Common Factor of 21 and 26

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 21, 26 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21 and 26 is 1.

GCF(21,26) = 1

## GCF of 21 and 26

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

### Greatest Common Factor of 21 and 26 by Prime factorization method

Prime Factorization of 21

 3 21 7 7 1

Prime factors of 21 are 3,7. Prime factorization of 21 in exponential form is:

21 = 31×71

Prime Factorization of 26

 2 26 13 13 1

Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

∴ So by taking common prime factors GCF of 21 and 26 is 1

### Greatest Common Factor of 21 and 26 by matching factors method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors and prime factorization of 21 and 26. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 26 is 1.

Also check out the Least Common Multiple of 21 and 26

### Properties of GCF 21 and 26

(i) The GCF of 21 and 26 is associative

GCF of 21 and 26 = GCF of 26 and 21

### Frequently Asked Questions on GCF of 21 and 26

1. What is the GCF of 21 and 26?

Answer: GCF of 21 and 26 is 1.

2. What are the Factors of 21?

Answer: Factors of 21 are 1, 3, 7, 21. There are 4 integers that are factors of 21. The greatest factor of 21 is 21.

3. What are the Factors of 26?

Answer: Factors of 26 are 1, 2, 13, 26. There are 4 integers that are factors of 26. The greatest factor of 26 is 26.

4. How to Find the GCF of 21 and 26?

Greatest Common Factor of 21 and 26 = 1

Step 1: Find the prime factorization of 21

21 = 3 x 7

Step 2: Find the prime factorization of 26

26 = 2 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 21 and 26 is 1