Greatest Common Factor of 2172 and 2180

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 2172, 2180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2172 and 2180 is 4.

GCF(2172,2180) = 4

GCF of 2172 and 2180

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

GCF of:
and

Greatest Common Factor of 2172 and 2180

GCF of 2172 and 2180 is 4

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2,3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2,5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

∴ So by taking common prime factors GCF of 2172 and 2180 is 4

Greatest Common Factor of 2172 and 2180 by matching factors method

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1,2,3,4,6,12,181,362,543,724,1086,2172

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Greatest Common Factor

We found the factors and prime factorization of 2172 and 2180. The biggest common factor number is the GCF number.
So the greatest common factor 2172 and 2180 is 4.

Also check out the Least Common Multiple of 2172 and 2180

Properties of GCF 2172 and 2180

(i) The GCF of 2172 and 2180 is associative

GCF of 2172 and 2180 = GCF of 2180 and 2172

Related Greatest Common Factor of 2172

Related Greatest Common Factor of 2180

Frequently Asked Questions on GCF of 2172 and 2180

1. What is the GCF of 2172 and 2180?

Answer: GCF of 2172 and 2180 is 4.

2. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

3. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

4. How to Find the GCF of 2172 and 2180?

Answer:

Greatest Common Factor of 2172 and 2180 = 4

Step 1: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

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 2172 and 2180 is 4