Greatest Common Factor of 7172 and 7180

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 7172, 7180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7172 and 7180 is 4.

GCF(7172,7180) = 4

GCF of 7172 and 7180

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

GCF of:
and

Greatest Common Factor of 7172 and 7180

GCF of 7172 and 7180 is 4

Prime Factorization of 7172


2 7172
2 3586
11 1793
163 163
1

Prime factors of 7172 are 2,11,163. Prime factorization of 7172 in exponential form is:

7172 = 22×111×1631

Prime Factorization of 7180


2 7180
2 3590
5 1795
359 359
1

Prime factors of 7180 are 2,5,359. Prime factorization of 7180 in exponential form is:

7180 = 22×51×3591

∴ So by taking common prime factors GCF of 7172 and 7180 is 4

Greatest Common Factor of 7172 and 7180 by matching factors method

Factors of 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1,2,4,11,22,44,163,326,652,1793,3586,7172

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Greatest Common Factor

We found the factors and prime factorization of 7172 and 7180. The biggest common factor number is the GCF number.
So the greatest common factor 7172 and 7180 is 4.

Also check out the Least Common Multiple of 7172 and 7180

Properties of GCF 7172 and 7180

(i) The GCF of 7172 and 7180 is associative

GCF of 7172 and 7180 = GCF of 7180 and 7172

Related Greatest Common Factor of 7172

Related Greatest Common Factor of 7180

Frequently Asked Questions on GCF of 7172 and 7180

1. What is the GCF of 7172 and 7180?

Answer: GCF of 7172 and 7180 is 4.

2. What are the Factors of 7172?

Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.

3. What are the Factors of 7180?

Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.

4. How to Find the GCF of 7172 and 7180?

Answer:

Greatest Common Factor of 7172 and 7180 = 4

Step 1: Find the prime factorization of 7172

7172 = 2 x 2 x 11 x 163

Step 2: Find the prime factorization of 7180

7180 = 2 x 2 x 5 x 359

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 7172 and 7180 is 4