Greatest Common Factor of 2138 and 2141

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, 2141 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2138 and 2141 is 1.

GCF(2138,2141) = 1

GCF of 2138 and 2141

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

GCF of:
and

Greatest Common Factor of 2138 and 2141

GCF of 2138 and 2141 is 1

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 2141


2141 2141
1

Prime factors of 2141 are 2141. Prime factorization of 2141 in exponential form is:

2141 = 21411

∴ So by taking common prime factors GCF of 2138 and 2141 is 1

Greatest Common Factor of 2138 and 2141 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 2141

List of positive integer factors of 2141 that divides 2141 without a remainder.

1,2141

Greatest Common Factor

We found the factors and prime factorization of 2138 and 2141. The biggest common factor number is the GCF number.
So the greatest common factor 2138 and 2141 is 1.

Also check out the Least Common Multiple of 2138 and 2141

Properties of GCF 2138 and 2141

(i) The GCF of 2138 and 2141 is associative

GCF of 2138 and 2141 = GCF of 2141 and 2138

Related Greatest Common Factor of 2138

Related Greatest Common Factor of 2141

Frequently Asked Questions on GCF of 2138 and 2141

1. What is the GCF of 2138 and 2141?

Answer: GCF of 2138 and 2141 is 1.

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 2141?

Answer: Factors of 2141 are 1, 2141. There are 2 integers that are factors of 2141. The greatest factor of 2141 is 2141.

4. How to Find the GCF of 2138 and 2141?

Answer:

Greatest Common Factor of 2138 and 2141 = 1

Step 1: Find the prime factorization of 2138

2138 = 2 x 1069

Step 2: Find the prime factorization of 2141

2141 = 2141

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2138 and 2141 is 1