Greatest Common Factor of 2164 and 2172

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 2164, 2172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2164 and 2172 is 4.

GCF(2164,2172) = 4

GCF of 2164 and 2172

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

GCF of:
and

Greatest Common Factor of 2164 and 2172

GCF of 2164 and 2172 is 4

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

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

∴ So by taking common prime factors GCF of 2164 and 2172 is 4

Greatest Common Factor of 2164 and 2172 by matching factors method

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1,2,4,541,1082,2164

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

Greatest Common Factor

We found the factors and prime factorization of 2164 and 2172. The biggest common factor number is the GCF number.
So the greatest common factor 2164 and 2172 is 4.

Also check out the Least Common Multiple of 2164 and 2172

Properties of GCF 2164 and 2172

(i) The GCF of 2164 and 2172 is associative

GCF of 2164 and 2172 = GCF of 2172 and 2164

Related Greatest Common Factor of 2164

Related Greatest Common Factor of 2172

Frequently Asked Questions on GCF of 2164 and 2172

1. What is the GCF of 2164 and 2172?

Answer: GCF of 2164 and 2172 is 4.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

3. 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.

4. How to Find the GCF of 2164 and 2172?

Answer:

Greatest Common Factor of 2164 and 2172 = 4

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

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 2164 and 2172 is 4