Greatest Common Factor of 9128 and 9135

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 9128, 9135 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9128 and 9135 is 7.

GCF(9128,9135) = 7

GCF of 9128 and 9135

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

GCF of:
and

Greatest Common Factor of 9128 and 9135

GCF of 9128 and 9135 is 7

Prime Factorization of 9128


2 9128
2 4564
2 2282
7 1141
163 163
1

Prime factors of 9128 are 2,7,163. Prime factorization of 9128 in exponential form is:

9128 = 23×71×1631

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

∴ So by taking common prime factors GCF of 9128 and 9135 is 7

Greatest Common Factor of 9128 and 9135 by matching factors method

Factors of 9128

List of positive integer factors of 9128 that divides 9128 without a remainder.

1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128

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

Greatest Common Factor

We found the factors and prime factorization of 9128 and 9135. The biggest common factor number is the GCF number.
So the greatest common factor 9128 and 9135 is 7.

Also check out the Least Common Multiple of 9128 and 9135

Properties of GCF 9128 and 9135

(i) The GCF of 9128 and 9135 is associative

GCF of 9128 and 9135 = GCF of 9135 and 9128

Related Greatest Common Factor of 9128

Related Greatest Common Factor of 9135

Frequently Asked Questions on GCF of 9128 and 9135

1. What is the GCF of 9128 and 9135?

Answer: GCF of 9128 and 9135 is 7.

2. What are the Factors of 9128?

Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.

3. 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.

4. How to Find the GCF of 9128 and 9135?

Answer:

Greatest Common Factor of 9128 and 9135 = 7

Step 1: Find the prime factorization of 9128

9128 = 2 x 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 9135

9135 = 3 x 3 x 5 x 7 x 29

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9128 and 9135 is 7