Greatest Common Factor of 7160 and 7168

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 7160, 7168 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7160 and 7168 is 8.

GCF(7160,7168) = 8

GCF of 7160 and 7168

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

GCF of:
and

Greatest Common Factor of 7160 and 7168

GCF of 7160 and 7168 is 8

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

Prime Factorization of 7168


2 7168
2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 7168 are 2,7. Prime factorization of 7168 in exponential form is:

7168 = 210×71

∴ So by taking common prime factors GCF of 7160 and 7168 is 8

Greatest Common Factor of 7160 and 7168 by matching factors method

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

Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168

Greatest Common Factor

We found the factors and prime factorization of 7160 and 7168. The biggest common factor number is the GCF number.
So the greatest common factor 7160 and 7168 is 8.

Also check out the Least Common Multiple of 7160 and 7168

Properties of GCF 7160 and 7168

(i) The GCF of 7160 and 7168 is associative

GCF of 7160 and 7168 = GCF of 7168 and 7160

Related Greatest Common Factor of 7160

Related Greatest Common Factor of 7168

Frequently Asked Questions on GCF of 7160 and 7168

1. What is the GCF of 7160 and 7168?

Answer: GCF of 7160 and 7168 is 8.

2. 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.

3. What are the Factors of 7168?

Answer: Factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. There are 22 integers that are factors of 7168. The greatest factor of 7168 is 7168.

4. How to Find the GCF of 7160 and 7168?

Answer:

Greatest Common Factor of 7160 and 7168 = 8

Step 1: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 2: Find the prime factorization of 7168

7168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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 7160 and 7168 is 8