Greatest Common Factor of 36131 and 36138

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 36131, 36138 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36131 and 36138 is 1.

GCF(36131,36138) = 1

GCF of 36131 and 36138

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

GCF of:
and

Greatest Common Factor of 36131 and 36138

GCF of 36131 and 36138 is 1

Prime Factorization of 36131


36131 36131
1

Prime factors of 36131 are 36131. Prime factorization of 36131 in exponential form is:

36131 = 361311

Prime Factorization of 36138


2 36138
3 18069
19 6023
317 317
1

Prime factors of 36138 are 2.Prime factorization of 36138 in exponential form is:

36138 = 21×31×191×3171

∴ So by taking common prime factors GCF of 36131 and 36138 is 1

Greatest Common Factor of 36131 and 36138 by matching factors method

Factors of 36131

List of positive integer factors of 36131 that divides 36131 without a remainder.

1,36131

Factors of 36138

List of positive integer factors of 36138 that divides 36138 without a remainder.

1,2,3,6,19,38,57,114,317,634,951,1902,6023,12046,18069,36138

Greatest Common Factor

We found the factors and prime factorization of 36131 and 36138. The biggest common factor number is the GCF number.
So the greatest common factor 36131 and 36138 is 1.

Also check out the Least Common Multiple of 36131 and 36138

Properties of GCF 36131 and 36138

(i) The GCF of 36131 and 36138 is associative

GCF of 36131 and 36138 = GCF of 36138 and 36131

Related Greatest Common Factor of 36131

Related Greatest Common Factor of 36138

Frequently Asked Questions on GCF of 36131 and 36138

1. What is the GCF of 36131 and 36138?

Answer: GCF of 36131 and 36138 is 1.

2. What are the Factors of 36131?

Answer: Factors of 36131 are 1, 36131. There are 2 integers that are factors of 36131. The greatest factor of 36131 is 36131.

3. What are the Factors of 36138?

Answer: Factors of 36138 are 1, 2, 3, 6, 19, 38, 57, 114, 317, 634, 951, 1902, 6023, 12046, 18069, 36138. There are 16 integers that are factors of 36138. The greatest factor of 36138 is 36138.

4. How to Find the GCF of 36131 and 36138?

Answer:

Greatest Common Factor of 36131 and 36138 = 1

Step 1: Find the prime factorization of 36131

36131 = 36131

Step 2: Find the prime factorization of 36138

36138 = 2 x 3 x 19 x 317

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 36131 and 36138 is 1