Greatest Common Factor of 6136 and 6137

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 6136, 6137 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6136 and 6137 is 1.

GCF(6136,6137) = 1

GCF of 6136 and 6137

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

GCF of:
and

Greatest Common Factor of 6136 and 6137

GCF of 6136 and 6137 is 1

Prime Factorization of 6136


2 6136
2 3068
2 1534
13 767
59 59
1

Prime factors of 6136 are 2,13,59. Prime factorization of 6136 in exponential form is:

6136 = 23×131×591

Prime Factorization of 6137


17 6137
19 361
19 19
1

Prime factors of 6137 are 17,19. Prime factorization of 6137 in exponential form is:

6137 = 171×192

∴ So by taking common prime factors GCF of 6136 and 6137 is 1

Greatest Common Factor of 6136 and 6137 by matching factors method

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136

Factors of 6137

List of positive integer factors of 6137 that divides 6137 without a remainder.

1,17,19,323,361,6137

Greatest Common Factor

We found the factors and prime factorization of 6136 and 6137. The biggest common factor number is the GCF number.
So the greatest common factor 6136 and 6137 is 1.

Also check out the Least Common Multiple of 6136 and 6137

Properties of GCF 6136 and 6137

(i) The GCF of 6136 and 6137 is associative

GCF of 6136 and 6137 = GCF of 6137 and 6136

Related Greatest Common Factor of 6136

Related Greatest Common Factor of 6137

Frequently Asked Questions on GCF of 6136 and 6137

1. What is the GCF of 6136 and 6137?

Answer: GCF of 6136 and 6137 is 1.

2. What are the Factors of 6136?

Answer: Factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136. There are 16 integers that are factors of 6136. The greatest factor of 6136 is 6136.

3. What are the Factors of 6137?

Answer: Factors of 6137 are 1, 17, 19, 323, 361, 6137. There are 6 integers that are factors of 6137. The greatest factor of 6137 is 6137.

4. How to Find the GCF of 6136 and 6137?

Answer:

Greatest Common Factor of 6136 and 6137 = 1

Step 1: Find the prime factorization of 6136

6136 = 2 x 2 x 2 x 13 x 59

Step 2: Find the prime factorization of 6137

6137 = 17 x 19 x 19

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 6136 and 6137 is 1