Greatest Common Factor of 21 and 29

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

Greatest common factor (GCF) of 21 and 29 is 1.

GCF(21,29) = 1

GCF of 21 and 29

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

GCF of:
and

Greatest Common Factor of 21 and 29

GCF of 21 and 29 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 29


29 29
1

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291

∴ So by taking common prime factors GCF of 21 and 29 is 1

Greatest Common Factor of 21 and 29 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors and prime factorization of 21 and 29. The biggest common factor number is the GCF number.
So the greatest common factor 21 and 29 is 1.

Also check out the Least Common Multiple of 21 and 29

Properties of GCF 21 and 29

(i) The GCF of 21 and 29 is associative

GCF of 21 and 29 = GCF of 29 and 21

Related Greatest Common Factor of 21

Related Greatest Common Factor of 29

Frequently Asked Questions on GCF of 21 and 29

1. What is the GCF of 21 and 29?

Answer: GCF of 21 and 29 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 29?

Answer: Factors of 29 are 1, 29. There are 2 integers that are factors of 29. The greatest factor of 29 is 29.

4. How to Find the GCF of 21 and 29?

Answer:

Greatest Common Factor of 21 and 29 = 1

Step 1: Find the prime factorization of 21

21 = 3 x 7

Step 2: Find the prime factorization of 29

29 = 29

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 29 is 1