Greatest Common Factor of 9152 and 9160

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 9152, 9160 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9152 and 9160 is 8.

GCF(9152,9160) = 8

GCF of 9152 and 9160

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

GCF of:
and

Greatest Common Factor of 9152 and 9160

GCF of 9152 and 9160 is 8

Prime Factorization of 9152


2 9152
2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 9152 are 2,11,13. Prime factorization of 9152 in exponential form is:

9152 = 26×111×131

Prime Factorization of 9160


2 9160
2 4580
2 2290
5 1145
229 229
1

Prime factors of 9160 are 2,5,229. Prime factorization of 9160 in exponential form is:

9160 = 23×51×2291

∴ So by taking common prime factors GCF of 9152 and 9160 is 8

Greatest Common Factor of 9152 and 9160 by matching factors method

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Greatest Common Factor

We found the factors and prime factorization of 9152 and 9160. The biggest common factor number is the GCF number.
So the greatest common factor 9152 and 9160 is 8.

Also check out the Least Common Multiple of 9152 and 9160

Properties of GCF 9152 and 9160

(i) The GCF of 9152 and 9160 is associative

GCF of 9152 and 9160 = GCF of 9160 and 9152

Related Greatest Common Factor of 9152

Related Greatest Common Factor of 9160

Frequently Asked Questions on GCF of 9152 and 9160

1. What is the GCF of 9152 and 9160?

Answer: GCF of 9152 and 9160 is 8.

2. What are the Factors of 9152?

Answer: Factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152. There are 28 integers that are factors of 9152. The greatest factor of 9152 is 9152.

3. What are the Factors of 9160?

Answer: Factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160. There are 16 integers that are factors of 9160. The greatest factor of 9160 is 9160.

4. How to Find the GCF of 9152 and 9160?

Answer:

Greatest Common Factor of 9152 and 9160 = 8

Step 1: Find the prime factorization of 9152

9152 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9152 and 9160 is 8