Greatest Common Factor of 36125 and 36130

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 36125, 36130 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36125 and 36130 is 5.

GCF(36125,36130) = 5

GCF of 36125 and 36130

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

GCF of:
and

Greatest Common Factor of 36125 and 36130

GCF of 36125 and 36130 is 5

Prime Factorization of 36125


5 36125
5 7225
5 1445
17 289
17 17
1

Prime factors of 36125 are 5,17. Prime factorization of 36125 in exponential form is:

36125 = 53×172

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

∴ So by taking common prime factors GCF of 36125 and 36130 is 5

Greatest Common Factor of 36125 and 36130 by matching factors method

Factors of 36125

List of positive integer factors of 36125 that divides 36125 without a remainder.

1,5,17,25,85,125,289,425,1445,2125,7225,36125

Factors of 36130

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

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

Greatest Common Factor

We found the factors and prime factorization of 36125 and 36130. The biggest common factor number is the GCF number.
So the greatest common factor 36125 and 36130 is 5.

Also check out the Least Common Multiple of 36125 and 36130

Properties of GCF 36125 and 36130

(i) The GCF of 36125 and 36130 is associative

GCF of 36125 and 36130 = GCF of 36130 and 36125

Related Greatest Common Factor of 36125

Related Greatest Common Factor of 36130

Frequently Asked Questions on GCF of 36125 and 36130

1. What is the GCF of 36125 and 36130?

Answer: GCF of 36125 and 36130 is 5.

2. What are the Factors of 36125?

Answer: Factors of 36125 are 1, 5, 17, 25, 85, 125, 289, 425, 1445, 2125, 7225, 36125. There are 12 integers that are factors of 36125. The greatest factor of 36125 is 36125.

3. 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.

4. How to Find the GCF of 36125 and 36130?

Answer:

Greatest Common Factor of 36125 and 36130 = 5

Step 1: Find the prime factorization of 36125

36125 = 5 x 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 36130

36130 = 2 x 5 x 3613

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

GCF = 5

Step 4: Therefore, the greatest common factor of 36125 and 36130 is 5