Greatest Common Factor of 2156 and 2164

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 2156, 2164 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2156 and 2164 is 4.

GCF(2156,2164) = 4

GCF of 2156 and 2164

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

GCF of:
and

Greatest Common Factor of 2156 and 2164

GCF of 2156 and 2164 is 4

Prime Factorization of 2156


2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 2156 are 2,7,11. Prime factorization of 2156 in exponential form is:

2156 = 22×72×111

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

∴ So by taking common prime factors GCF of 2156 and 2164 is 4

Greatest Common Factor of 2156 and 2164 by matching factors method

Factors of 2156

List of positive integer factors of 2156 that divides 2156 without a remainder.

1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156

Factors of 2164

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

1,2,4,541,1082,2164

Greatest Common Factor

We found the factors and prime factorization of 2156 and 2164. The biggest common factor number is the GCF number.
So the greatest common factor 2156 and 2164 is 4.

Also check out the Least Common Multiple of 2156 and 2164

Properties of GCF 2156 and 2164

(i) The GCF of 2156 and 2164 is associative

GCF of 2156 and 2164 = GCF of 2164 and 2156

Related Greatest Common Factor of 2156

Related Greatest Common Factor of 2164

Frequently Asked Questions on GCF of 2156 and 2164

1. What is the GCF of 2156 and 2164?

Answer: GCF of 2156 and 2164 is 4.

2. What are the Factors of 2156?

Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.

3. 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.

4. How to Find the GCF of 2156 and 2164?

Answer:

Greatest Common Factor of 2156 and 2164 = 4

Step 1: Find the prime factorization of 2156

2156 = 2 x 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 2164

2164 = 2 x 2 x 541

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 2156 and 2164 is 4