Greatest Common Factor of 36140 and 36145

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 36140, 36145 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36140 and 36145 is 5.

GCF(36140,36145) = 5

GCF of 36140 and 36145

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

GCF of:
and

Greatest Common Factor of 36140 and 36145

GCF of 36140 and 36145 is 5

Prime Factorization of 36140


2 36140
2 18070
5 9035
13 1807
139 139
1

Prime factors of 36140 are 2,5,13,139. Prime factorization of 36140 in exponential form is:

36140 = 22×51×131×1391

Prime Factorization of 36145


5 36145
7229 7229
1

Prime factors of 36145 are 5,7229. Prime factorization of 36145 in exponential form is:

36145 = 51×72291

∴ So by taking common prime factors GCF of 36140 and 36145 is 5

Greatest Common Factor of 36140 and 36145 by matching factors method

Factors of 36140

List of positive integer factors of 36140 that divides 36140 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,139,260,278,556,695,1390,1807,2780,3614,7228,9035,18070,36140

Factors of 36145

List of positive integer factors of 36145 that divides 36145 without a remainder.

1,5,7229,36145

Greatest Common Factor

We found the factors and prime factorization of 36140 and 36145. The biggest common factor number is the GCF number.
So the greatest common factor 36140 and 36145 is 5.

Also check out the Least Common Multiple of 36140 and 36145

Properties of GCF 36140 and 36145

(i) The GCF of 36140 and 36145 is associative

GCF of 36140 and 36145 = GCF of 36145 and 36140

Related Greatest Common Factor of 36140

Related Greatest Common Factor of 36145

Frequently Asked Questions on GCF of 36140 and 36145

1. What is the GCF of 36140 and 36145?

Answer: GCF of 36140 and 36145 is 5.

2. What are the Factors of 36140?

Answer: Factors of 36140 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 139, 260, 278, 556, 695, 1390, 1807, 2780, 3614, 7228, 9035, 18070, 36140. There are 24 integers that are factors of 36140. The greatest factor of 36140 is 36140.

3. What are the Factors of 36145?

Answer: Factors of 36145 are 1, 5, 7229, 36145. There are 4 integers that are factors of 36145. The greatest factor of 36145 is 36145.

4. How to Find the GCF of 36140 and 36145?

Answer:

Greatest Common Factor of 36140 and 36145 = 5

Step 1: Find the prime factorization of 36140

36140 = 2 x 2 x 5 x 13 x 139

Step 2: Find the prime factorization of 36145

36145 = 5 x 7229

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 36140 and 36145 is 5