Greatest Common Factor of 9126 and 9130

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 9126, 9130 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9126 and 9130 is 2.

GCF(9126,9130) = 2

GCF of 9126 and 9130

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

GCF of:
and

Greatest Common Factor of 9126 and 9130

GCF of 9126 and 9130 is 2

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

Prime Factorization of 9130


2 9130
5 4565
11 913
83 83
1

Prime factors of 9130 are 2,5,11,83. Prime factorization of 9130 in exponential form is:

9130 = 21×51×111×831

∴ So by taking common prime factors GCF of 9126 and 9130 is 2

Greatest Common Factor of 9126 and 9130 by matching factors method

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

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Greatest Common Factor

We found the factors and prime factorization of 9126 and 9130. The biggest common factor number is the GCF number.
So the greatest common factor 9126 and 9130 is 2.

Also check out the Least Common Multiple of 9126 and 9130

Properties of GCF 9126 and 9130

(i) The GCF of 9126 and 9130 is associative

GCF of 9126 and 9130 = GCF of 9130 and 9126

Related Greatest Common Factor of 9126

Related Greatest Common Factor of 9130

Frequently Asked Questions on GCF of 9126 and 9130

1. What is the GCF of 9126 and 9130?

Answer: GCF of 9126 and 9130 is 2.

2. 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.

3. What are the Factors of 9130?

Answer: Factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130. There are 16 integers that are factors of 9130. The greatest factor of 9130 is 9130.

4. How to Find the GCF of 9126 and 9130?

Answer:

Greatest Common Factor of 9126 and 9130 = 2

Step 1: Find the prime factorization of 9126

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

Step 2: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9126 and 9130 is 2