Greatest Common Factor of 4131 and 4138

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 4131, 4138 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4131 and 4138 is 1.

GCF(4131,4138) = 1

GCF of 4131 and 4138

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

GCF of:
and

Greatest Common Factor of 4131 and 4138

GCF of 4131 and 4138 is 1

Prime Factorization of 4131


3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 4131 are 3,17. Prime factorization of 4131 in exponential form is:

4131 = 35×171

Prime Factorization of 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

∴ So by taking common prime factors GCF of 4131 and 4138 is 1

Greatest Common Factor of 4131 and 4138 by matching factors method

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1,3,9,17,27,51,81,153,243,459,1377,4131

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Greatest Common Factor

We found the factors and prime factorization of 4131 and 4138. The biggest common factor number is the GCF number.
So the greatest common factor 4131 and 4138 is 1.

Also check out the Least Common Multiple of 4131 and 4138

Properties of GCF 4131 and 4138

(i) The GCF of 4131 and 4138 is associative

GCF of 4131 and 4138 = GCF of 4138 and 4131

Related Greatest Common Factor of 4131

Related Greatest Common Factor of 4138

Frequently Asked Questions on GCF of 4131 and 4138

1. What is the GCF of 4131 and 4138?

Answer: GCF of 4131 and 4138 is 1.

2. What are the Factors of 4131?

Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.

3. What are the Factors of 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

4. How to Find the GCF of 4131 and 4138?

Answer:

Greatest Common Factor of 4131 and 4138 = 1

Step 1: Find the prime factorization of 4131

4131 = 3 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 4138

4138 = 2 x 2069

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 4131 and 4138 is 1