Greatest Common Factor of 21 and 22

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 21, 22 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 21 and 22 is 1.

GCF(21,22) = 1

GCF of 21 and 22

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

GCF of:
and

Greatest Common Factor of 21 and 22

GCF of 21 and 22 is 1

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 22


2 22
11 11
1

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

22 = 21×111

∴ So by taking common prime factors GCF of 21 and 22 is 1

Greatest Common Factor of 21 and 22 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 22

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

1,2,11,22

Greatest Common Factor

We found the factors and prime factorization of 21 and 22. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 22 is 1.

Also check out the Least Common Multiple of 21 and 22

Properties of GCF 21 and 22

(i) The GCF of 21 and 22 is associative

GCF of 21 and 22 = GCF of 22 and 21

Related Greatest Common Factor of 21

Related Greatest Common Factor of 22

Frequently Asked Questions on GCF of 21 and 22

1. What is the GCF of 21 and 22?

Answer: GCF of 21 and 22 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 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.

4. How to Find the GCF of 21 and 22?

Answer:

Greatest Common Factor of 21 and 22 = 1

Step 1: Find the prime factorization of 21

21 = 3 x 7

Step 2: Find the prime factorization of 22

22 = 2 x 11

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 22 is 1