Greatest Common Factor of 9 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 9, 29 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9 and 29 is 1.

GCF(9,29) = 1

GCF of 9 and 29

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

GCF of:
and

Greatest Common Factor of 9 and 29

GCF of 9 and 29 is 1

Prime Factorization of 9


3 9
3 3
1

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 32

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 9 and 29 is 1

Greatest Common Factor of 9 and 29 by matching factors method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

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 9 and 29. The biggest common factor number is the GCF number.
So the greatest common factor 9 and 29 is 1.

Also check out the Least Common Multiple of 9 and 29

Properties of GCF 9 and 29

(i) The GCF of 9 and 29 is associative

GCF of 9 and 29 = GCF of 29 and 9

Frequently Asked Questions on GCF of 9 and 29

1. What is the GCF of 9 and 29?

Answer: GCF of 9 and 29 is 1.

2. What are the Factors of 9?

Answer: Factors of 9 are 1, 3, 9. There are 3 integers that are factors of 9. The greatest factor of 9 is 9.

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 9 and 29?

Answer:

Greatest Common Factor of 9 and 29 = 1

Step 1: Find the prime factorization of 9

9 = 3 x 3

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 9 and 29 is 1