Greatest Common Factor of 9123 and 9129

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 9123, 9129 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9123 and 9129 is 3.

GCF(9123,9129) = 3

GCF of 9123 and 9129

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

GCF of:
and

Greatest Common Factor of 9123 and 9129

GCF of 9123 and 9129 is 3

Prime Factorization of 9123


3 9123
3041 3041
1

Prime factors of 9123 are 3,3041. Prime factorization of 9123 in exponential form is:

9123 = 31×30411

Prime Factorization of 9129


3 9129
17 3043
179 179
1

Prime factors of 9129 are 3,17,179. Prime factorization of 9129 in exponential form is:

9129 = 31×171×1791

∴ So by taking common prime factors GCF of 9123 and 9129 is 3

Greatest Common Factor of 9123 and 9129 by matching factors method

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1,3,17,51,179,537,3043,9129

Greatest Common Factor

We found the factors and prime factorization of 9123 and 9129. The biggest common factor number is the GCF number.
So the greatest common factor 9123 and 9129 is 3.

Also check out the Least Common Multiple of 9123 and 9129

Properties of GCF 9123 and 9129

(i) The GCF of 9123 and 9129 is associative

GCF of 9123 and 9129 = GCF of 9129 and 9123

Related Greatest Common Factor of 9123

Related Greatest Common Factor of 9129

Frequently Asked Questions on GCF of 9123 and 9129

1. What is the GCF of 9123 and 9129?

Answer: GCF of 9123 and 9129 is 3.

2. What are the Factors of 9123?

Answer: Factors of 9123 are 1, 3, 3041, 9123. There are 4 integers that are factors of 9123. The greatest factor of 9123 is 9123.

3. What are the Factors of 9129?

Answer: Factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129. There are 8 integers that are factors of 9129. The greatest factor of 9129 is 9129.

4. How to Find the GCF of 9123 and 9129?

Answer:

Greatest Common Factor of 9123 and 9129 = 3

Step 1: Find the prime factorization of 9123

9123 = 3 x 3041

Step 2: Find the prime factorization of 9129

9129 = 3 x 17 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9123 and 9129 is 3