Greatest Common Factor of 4131 and 4137

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, 4137 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4131 and 4137 is 3.

GCF(4131,4137) = 3

GCF of 4131 and 4137

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

GCF of:
and

Greatest Common Factor of 4131 and 4137

GCF of 4131 and 4137 is 3

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 4137


3 4137
7 1379
197 197
1

Prime factors of 4137 are 3,7,197. Prime factorization of 4137 in exponential form is:

4137 = 31×71×1971

∴ So by taking common prime factors GCF of 4131 and 4137 is 3

Greatest Common Factor of 4131 and 4137 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 4137

List of positive integer factors of 4137 that divides 4137 without a remainder.

1,3,7,21,197,591,1379,4137

Greatest Common Factor

We found the factors and prime factorization of 4131 and 4137. The biggest common factor number is the GCF number.
So the greatest common factor 4131 and 4137 is 3.

Also check out the Least Common Multiple of 4131 and 4137

Properties of GCF 4131 and 4137

(i) The GCF of 4131 and 4137 is associative

GCF of 4131 and 4137 = GCF of 4137 and 4131

Related Greatest Common Factor of 4131

Related Greatest Common Factor of 4137

Frequently Asked Questions on GCF of 4131 and 4137

1. What is the GCF of 4131 and 4137?

Answer: GCF of 4131 and 4137 is 3.

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 4137?

Answer: Factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137. There are 8 integers that are factors of 4137. The greatest factor of 4137 is 4137.

4. How to Find the GCF of 4131 and 4137?

Answer:

Greatest Common Factor of 4131 and 4137 = 3

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 4137

4137 = 3 x 7 x 197

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4131 and 4137 is 3