Greatest Common Factor of 2138 and 2140

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 2138, 2140 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2138 and 2140 is 2.

GCF(2138,2140) = 2

GCF of 2138 and 2140

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

GCF of:
and

Greatest Common Factor of 2138 and 2140

GCF of 2138 and 2140 is 2

Prime Factorization of 2138


2 2138
1069 1069
1

Prime factors of 2138 are 2,1069. Prime factorization of 2138 in exponential form is:

2138 = 21×10691

Prime Factorization of 2140


2 2140
2 1070
5 535
107 107
1

Prime factors of 2140 are 2,5,107. Prime factorization of 2140 in exponential form is:

2140 = 22×51×1071

∴ So by taking common prime factors GCF of 2138 and 2140 is 2

Greatest Common Factor of 2138 and 2140 by matching factors method

Factors of 2138

List of positive integer factors of 2138 that divides 2138 without a remainder.

1,2,1069,2138

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors and prime factorization of 2138 and 2140. The biggest common factor number is the GCF number.
So the greatest common factor 2138 and 2140 is 2.

Also check out the Least Common Multiple of 2138 and 2140

Properties of GCF 2138 and 2140

(i) The GCF of 2138 and 2140 is associative

GCF of 2138 and 2140 = GCF of 2140 and 2138

Related Greatest Common Factor of 2138

Related Greatest Common Factor of 2140

Frequently Asked Questions on GCF of 2138 and 2140

1. What is the GCF of 2138 and 2140?

Answer: GCF of 2138 and 2140 is 2.

2. What are the Factors of 2138?

Answer: Factors of 2138 are 1, 2, 1069, 2138. There are 4 integers that are factors of 2138. The greatest factor of 2138 is 2138.

3. What are the Factors of 2140?

Answer: Factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140. There are 12 integers that are factors of 2140. The greatest factor of 2140 is 2140.

4. How to Find the GCF of 2138 and 2140?

Answer:

Greatest Common Factor of 2138 and 2140 = 2

Step 1: Find the prime factorization of 2138

2138 = 2 x 1069

Step 2: Find the prime factorization of 2140

2140 = 2 x 2 x 5 x 107

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 2138 and 2140 is 2