Greatest Common Factor of 9123 and 9126

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, 9126 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9123 and 9126 is 3.

GCF(9123,9126) = 3

GCF of 9123 and 9126

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

GCF of:
and

Greatest Common Factor of 9123 and 9126

GCF of 9123 and 9126 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 9126


2 9126
3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 9126 are 2,3,13. Prime factorization of 9126 in exponential form is:

9126 = 21×33×132

∴ So by taking common prime factors GCF of 9123 and 9126 is 3

Greatest Common Factor of 9123 and 9126 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 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Greatest Common Factor

We found the factors and prime factorization of 9123 and 9126. The biggest common factor number is the GCF number.
So the greatest common factor 9123 and 9126 is 3.

Also check out the Least Common Multiple of 9123 and 9126

Properties of GCF 9123 and 9126

(i) The GCF of 9123 and 9126 is associative

GCF of 9123 and 9126 = GCF of 9126 and 9123

Related Greatest Common Factor of 9123

Related Greatest Common Factor of 9126

Frequently Asked Questions on GCF of 9123 and 9126

1. What is the GCF of 9123 and 9126?

Answer: GCF of 9123 and 9126 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 9126?

Answer: Factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126. There are 24 integers that are factors of 9126. The greatest factor of 9126 is 9126.

4. How to Find the GCF of 9123 and 9126?

Answer:

Greatest Common Factor of 9123 and 9126 = 3

Step 1: Find the prime factorization of 9123

9123 = 3 x 3041

Step 2: Find the prime factorization of 9126

9126 = 2 x 3 x 3 x 3 x 13 x 13

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 9126 is 3