Greatest Common Factor of 7156 and 7160

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, 7160 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7156 and 7160 is 4.

GCF(7156,7160) = 4

GCF of 7156 and 7160

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

GCF of:
and

Greatest Common Factor of 7156 and 7160

GCF of 7156 and 7160 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 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2,5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

∴ So by taking common prime factors GCF of 7156 and 7160 is 4

Greatest Common Factor of 7156 and 7160 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 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160

Greatest Common Factor

We found the factors and prime factorization of 7156 and 7160. The biggest common factor number is the GCF number.
So the greatest common factor 7156 and 7160 is 4.

Also check out the Least Common Multiple of 7156 and 7160

Properties of GCF 7156 and 7160

(i) The GCF of 7156 and 7160 is associative

GCF of 7156 and 7160 = GCF of 7160 and 7156

Related Greatest Common Factor of 7156

Related Greatest Common Factor of 7160

Frequently Asked Questions on GCF of 7156 and 7160

1. What is the GCF of 7156 and 7160?

Answer: GCF of 7156 and 7160 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 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

4. How to Find the GCF of 7156 and 7160?

Answer:

Greatest Common Factor of 7156 and 7160 = 4

Step 1: Find the prime factorization of 7156

7156 = 2 x 2 x 1789

Step 2: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

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 7160 is 4