Greatest Common Factor of 21 and 23

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

Greatest common factor (GCF) of 21 and 23 is 1.

GCF(21,23) = 1

GCF of 21 and 23

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

GCF of:
and

Greatest Common Factor of 21 and 23

GCF of 21 and 23 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 23


23 23
1

Prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231

∴ So by taking common prime factors GCF of 21 and 23 is 1

Greatest Common Factor of 21 and 23 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors and prime factorization of 21 and 23. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 23 is 1.

Also check out the Least Common Multiple of 21 and 23

Properties of GCF 21 and 23

(i) The GCF of 21 and 23 is associative

GCF of 21 and 23 = GCF of 23 and 21

Related Greatest Common Factor of 21

Related Greatest Common Factor of 23

Frequently Asked Questions on GCF of 21 and 23

1. What is the GCF of 21 and 23?

Answer: GCF of 21 and 23 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 23?

Answer: Factors of 23 are 1, 23. There are 2 integers that are factors of 23. The greatest factor of 23 is 23.

4. How to Find the GCF of 21 and 23?

Answer:

Greatest Common Factor of 21 and 23 = 1

Step 1: Find the prime factorization of 21

21 = 3 x 7

Step 2: Find the prime factorization of 23

23 = 23

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 23 is 1