Greatest Common Factor of 7156 and 7164

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 7156, 7164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7156 and 7164 is 4.

GCF(7156,7164) = 4

GCF of 7156 and 7164

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

GCF of:
and

Greatest Common Factor of 7156 and 7164

GCF of 7156 and 7164 is 4

Prime Factorization of 7156


2 7156
2 3578
1789 1789
1

Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:

7156 = 22×17891

Prime Factorization of 7164


2 7164
2 3582
3 1791
3 597
199 199
1

Prime factors of 7164 are 2,3,199. Prime factorization of 7164 in exponential form is:

7164 = 22×32×1991

∴ So by taking common prime factors GCF of 7156 and 7164 is 4

Greatest Common Factor of 7156 and 7164 by matching factors method

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1,2,4,1789,3578,7156

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Greatest Common Factor

We found the factors and prime factorization of 7156 and 7164. The biggest common factor number is the GCF number.
So the greatest common factor 7156 and 7164 is 4.

Also check out the Least Common Multiple of 7156 and 7164

Properties of GCF 7156 and 7164

(i) The GCF of 7156 and 7164 is associative

GCF of 7156 and 7164 = GCF of 7164 and 7156

Related Greatest Common Factor of 7156

Related Greatest Common Factor of 7164

Frequently Asked Questions on GCF of 7156 and 7164

1. What is the GCF of 7156 and 7164?

Answer: GCF of 7156 and 7164 is 4.

2. What are the Factors of 7156?

Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.

3. What are the Factors of 7164?

Answer: Factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164. There are 18 integers that are factors of 7164. The greatest factor of 7164 is 7164.

4. How to Find the GCF of 7156 and 7164?

Answer:

Greatest Common Factor of 7156 and 7164 = 4

Step 1: Find the prime factorization of 7156

7156 = 2 x 2 x 1789

Step 2: Find the prime factorization of 7164

7164 = 2 x 2 x 3 x 3 x 199

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 7156 and 7164 is 4