Greatest Common Factor of 9126 and 9127

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, 9127 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9126 and 9127 is 1.

GCF(9126,9127) = 1

GCF of 9126 and 9127

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

GCF of:
and

Greatest Common Factor of 9126 and 9127

GCF of 9126 and 9127 is 1

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 9127


9127 9127
1

Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:

9127 = 91271

∴ So by taking common prime factors GCF of 9126 and 9127 is 1

Greatest Common Factor of 9126 and 9127 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 9127

List of positive integer factors of 9127 that divides 9127 without a remainder.

1,9127

Greatest Common Factor

We found the factors and prime factorization of 9126 and 9127. The biggest common factor number is the GCF number.
So the greatest common factor 9126 and 9127 is 1.

Also check out the Least Common Multiple of 9126 and 9127

Properties of GCF 9126 and 9127

(i) The GCF of 9126 and 9127 is associative

GCF of 9126 and 9127 = GCF of 9127 and 9126

Frequently Asked Questions on GCF of 9126 and 9127

1. What is the GCF of 9126 and 9127?

Answer: GCF of 9126 and 9127 is 1.

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 9127?

Answer: Factors of 9127 are 1, 9127. There are 2 integers that are factors of 9127. The greatest factor of 9127 is 9127.

4. How to Find the GCF of 9126 and 9127?

Answer:

Greatest Common Factor of 9126 and 9127 = 1

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 9127

9127 = 9127

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 9126 and 9127 is 1