Greatest Common Factor of 36132 and 36140

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 36132, 36140 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36132 and 36140 is 4.

GCF(36132,36140) = 4

GCF of 36132 and 36140

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

GCF of:
and

Greatest Common Factor of 36132 and 36140

GCF of 36132 and 36140 is 4

Prime Factorization of 36132


2 36132
2 18066
3 9033
3011 3011
1

Prime factors of 36132 are 2,3,3011. Prime factorization of 36132 in exponential form is:

36132 = 22×31×30111

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

∴ So by taking common prime factors GCF of 36132 and 36140 is 4

Greatest Common Factor of 36132 and 36140 by matching factors method

Factors of 36132

List of positive integer factors of 36132 that divides 36132 without a remainder.

1,2,3,4,6,12,3011,6022,9033,12044,18066,36132

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

Greatest Common Factor

We found the factors and prime factorization of 36132 and 36140. The biggest common factor number is the GCF number.
So the greatest common factor 36132 and 36140 is 4.

Also check out the Least Common Multiple of 36132 and 36140

Properties of GCF 36132 and 36140

(i) The GCF of 36132 and 36140 is associative

GCF of 36132 and 36140 = GCF of 36140 and 36132

Related Greatest Common Factor of 36132

Related Greatest Common Factor of 36140

Frequently Asked Questions on GCF of 36132 and 36140

1. What is the GCF of 36132 and 36140?

Answer: GCF of 36132 and 36140 is 4.

2. What are the Factors of 36132?

Answer: Factors of 36132 are 1, 2, 3, 4, 6, 12, 3011, 6022, 9033, 12044, 18066, 36132. There are 12 integers that are factors of 36132. The greatest factor of 36132 is 36132.

3. 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.

4. How to Find the GCF of 36132 and 36140?

Answer:

Greatest Common Factor of 36132 and 36140 = 4

Step 1: Find the prime factorization of 36132

36132 = 2 x 2 x 3 x 3011

Step 2: Find the prime factorization of 36140

36140 = 2 x 2 x 5 x 13 x 139

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 36132 and 36140 is 4