Greatest Common Factor of 22 and 26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 22, 26 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 22 and 26 is 2.

GCF(22,26) = 2

GCF of 22 and 26

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

GCF of:
and

Greatest Common Factor of 22 and 26

GCF of 22 and 26 is 2

Prime Factorization of 22


2 22
11 11
1

Prime factors of 22 are 2,11. Prime factorization of 22 in exponential form is:

22 = 21×111

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 22 and 26 is 2

Greatest Common Factor of 22 and 26 by matching factors method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 22 and 26. The biggest common factor number is the GCF number.
So the greatest common factor 22 and 26 is 2.

Also check out the Least Common Multiple of 22 and 26

Properties of GCF 22 and 26

(i) The GCF of 22 and 26 is associative

GCF of 22 and 26 = GCF of 26 and 22

Related Greatest Common Factor of 22

Related Greatest Common Factor of 26

Frequently Asked Questions on GCF of 22 and 26

1. What is the GCF of 22 and 26?

Answer: GCF of 22 and 26 is 2.

2. What are the Factors of 22?

Answer: Factors of 22 are 1, 2, 11, 22. There are 4 integers that are factors of 22. The greatest factor of 22 is 22.

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 22 and 26?

Answer:

Greatest Common Factor of 22 and 26 = 2

Step 1: Find the prime factorization of 22

22 = 2 x 11

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 = 2

Step 4: Therefore, the greatest common factor of 22 and 26 is 2