Greatest Common Factor of 2164 and 2166

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, 2166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2164 and 2166 is 2.

GCF(2164,2166) = 2

GCF of 2164 and 2166

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

GCF of:
and

Greatest Common Factor of 2164 and 2166

GCF of 2164 and 2166 is 2

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 2166


2 2166
3 1083
19 361
19 19
1

Prime factors of 2166 are 2,3,19. Prime factorization of 2166 in exponential form is:

2166 = 21×31×192

∴ So by taking common prime factors GCF of 2164 and 2166 is 2

Greatest Common Factor of 2164 and 2166 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 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1,2,3,6,19,38,57,114,361,722,1083,2166

Greatest Common Factor

We found the factors and prime factorization of 2164 and 2166. The biggest common factor number is the GCF number.
So the greatest common factor 2164 and 2166 is 2.

Also check out the Least Common Multiple of 2164 and 2166

Properties of GCF 2164 and 2166

(i) The GCF of 2164 and 2166 is associative

GCF of 2164 and 2166 = GCF of 2166 and 2164

Related Greatest Common Factor of 2164

Related Greatest Common Factor of 2166

Frequently Asked Questions on GCF of 2164 and 2166

1. What is the GCF of 2164 and 2166?

Answer: GCF of 2164 and 2166 is 2.

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 2166?

Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.

4. How to Find the GCF of 2164 and 2166?

Answer:

Greatest Common Factor of 2164 and 2166 = 2

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2166

2166 = 2 x 3 x 19 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2164 and 2166 is 2