Greatest Common Factor of 9135 and 9140

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 9135, 9140 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9135 and 9140 is 5.

GCF(9135,9140) = 5

GCF of 9135 and 9140

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

GCF of:
and

Greatest Common Factor of 9135 and 9140

GCF of 9135 and 9140 is 5

Prime Factorization of 9135


3 9135
3 3045
5 1015
7 203
29 29
1

Prime factors of 9135 are 3,5,7,29. Prime factorization of 9135 in exponential form is:

9135 = 32×51×71×291

Prime Factorization of 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2,5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

∴ So by taking common prime factors GCF of 9135 and 9140 is 5

Greatest Common Factor of 9135 and 9140 by matching factors method

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Greatest Common Factor

We found the factors and prime factorization of 9135 and 9140. The biggest common factor number is the GCF number.
So the greatest common factor 9135 and 9140 is 5.

Also check out the Least Common Multiple of 9135 and 9140

Properties of GCF 9135 and 9140

(i) The GCF of 9135 and 9140 is associative

GCF of 9135 and 9140 = GCF of 9140 and 9135

Related Greatest Common Factor of 9135

Related Greatest Common Factor of 9140

Frequently Asked Questions on GCF of 9135 and 9140

1. What is the GCF of 9135 and 9140?

Answer: GCF of 9135 and 9140 is 5.

2. What are the Factors of 9135?

Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.

3. What are the Factors of 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

4. How to Find the GCF of 9135 and 9140?

Answer:

Greatest Common Factor of 9135 and 9140 = 5

Step 1: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9135 and 9140 is 5