Greatest Common Factor of 36130 and 36136

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 36130, 36136 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36130 and 36136 is 2.

GCF(36130,36136) = 2

GCF of 36130 and 36136

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

GCF of:
and

Greatest Common Factor of 36130 and 36136

GCF of 36130 and 36136 is 2

Prime Factorization of 36130


2 36130
5 18065
3613 3613
1

Prime factors of 36130 are 2,5,3613. Prime factorization of 36130 in exponential form is:

36130 = 21×51×36131

Prime Factorization of 36136


2 36136
2 18068
2 9034
4517 4517
1

Prime factors of 36136 are 2,4517. Prime factorization of 36136 in exponential form is:

36136 = 23×45171

∴ So by taking common prime factors GCF of 36130 and 36136 is 2

Greatest Common Factor of 36130 and 36136 by matching factors method

Factors of 36130

List of positive integer factors of 36130 that divides 36130 without a remainder.

1,2,5,10,3613,7226,18065,36130

Factors of 36136

List of positive integer factors of 36136 that divides 36136 without a remainder.

1,2,4,8,4517,9034,18068,36136

Greatest Common Factor

We found the factors and prime factorization of 36130 and 36136. The biggest common factor number is the GCF number.
So the greatest common factor 36130 and 36136 is 2.

Also check out the Least Common Multiple of 36130 and 36136

Properties of GCF 36130 and 36136

(i) The GCF of 36130 and 36136 is associative

GCF of 36130 and 36136 = GCF of 36136 and 36130

Related Greatest Common Factor of 36130

Related Greatest Common Factor of 36136

Frequently Asked Questions on GCF of 36130 and 36136

1. What is the GCF of 36130 and 36136?

Answer: GCF of 36130 and 36136 is 2.

2. What are the Factors of 36130?

Answer: Factors of 36130 are 1, 2, 5, 10, 3613, 7226, 18065, 36130. There are 8 integers that are factors of 36130. The greatest factor of 36130 is 36130.

3. What are the Factors of 36136?

Answer: Factors of 36136 are 1, 2, 4, 8, 4517, 9034, 18068, 36136. There are 8 integers that are factors of 36136. The greatest factor of 36136 is 36136.

4. How to Find the GCF of 36130 and 36136?

Answer:

Greatest Common Factor of 36130 and 36136 = 2

Step 1: Find the prime factorization of 36130

36130 = 2 x 5 x 3613

Step 2: Find the prime factorization of 36136

36136 = 2 x 2 x 2 x 4517

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

GCF = 2

Step 4: Therefore, the greatest common factor of 36130 and 36136 is 2