Greatest Common Factor of 9156 and 9164

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 9156, 9164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9156 and 9164 is 4.

GCF(9156,9164) = 4

GCF of 9156 and 9164

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

GCF of:
and

Greatest Common Factor of 9156 and 9164

GCF of 9156 and 9164 is 4

Prime Factorization of 9156


2 9156
2 4578
3 2289
7 763
109 109
1

Prime factors of 9156 are 2,3,7,109. Prime factorization of 9156 in exponential form is:

9156 = 22×31×71×1091

Prime Factorization of 9164


2 9164
2 4582
29 2291
79 79
1

Prime factors of 9164 are 2,29,79. Prime factorization of 9164 in exponential form is:

9164 = 22×291×791

∴ So by taking common prime factors GCF of 9156 and 9164 is 4

Greatest Common Factor of 9156 and 9164 by matching factors method

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1,2,4,29,58,79,116,158,316,2291,4582,9164

Greatest Common Factor

We found the factors and prime factorization of 9156 and 9164. The biggest common factor number is the GCF number.
So the greatest common factor 9156 and 9164 is 4.

Also check out the Least Common Multiple of 9156 and 9164

Properties of GCF 9156 and 9164

(i) The GCF of 9156 and 9164 is associative

GCF of 9156 and 9164 = GCF of 9164 and 9156

Related Greatest Common Factor of 9156

Related Greatest Common Factor of 9164

Frequently Asked Questions on GCF of 9156 and 9164

1. What is the GCF of 9156 and 9164?

Answer: GCF of 9156 and 9164 is 4.

2. What are the Factors of 9156?

Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.

3. What are the Factors of 9164?

Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.

4. How to Find the GCF of 9156 and 9164?

Answer:

Greatest Common Factor of 9156 and 9164 = 4

Step 1: Find the prime factorization of 9156

9156 = 2 x 2 x 3 x 7 x 109

Step 2: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9156 and 9164 is 4