Greatest Common Factor of 7160 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 7160, 7164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7160 and 7164 is 4.

GCF(7160,7164) = 4

GCF of 7160 and 7164

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

GCF of:
and

Greatest Common Factor of 7160 and 7164

GCF of 7160 and 7164 is 4

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 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 7160 and 7164 is 4

Greatest Common Factor of 7160 and 7164 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 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 7160 and 7164. The biggest common factor number is the GCF number.
So the greatest common factor 7160 and 7164 is 4.

Also check out the Least Common Multiple of 7160 and 7164

Properties of GCF 7160 and 7164

(i) The GCF of 7160 and 7164 is associative

GCF of 7160 and 7164 = GCF of 7164 and 7160

Related Greatest Common Factor of 7160

Related Greatest Common Factor of 7164

Frequently Asked Questions on GCF of 7160 and 7164

1. What is the GCF of 7160 and 7164?

Answer: GCF of 7160 and 7164 is 4.

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 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 7160 and 7164?

Answer:

Greatest Common Factor of 7160 and 7164 = 4

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 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 7160 and 7164 is 4