Greatest Common Factor of 36125 and 36132

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, 36132 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36125 and 36132 is 1.

GCF(36125,36132) = 1

GCF of 36125 and 36132

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

GCF of:
and

Greatest Common Factor of 36125 and 36132

GCF of 36125 and 36132 is 1

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 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

∴ So by taking common prime factors GCF of 36125 and 36132 is 1

Greatest Common Factor of 36125 and 36132 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 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

Greatest Common Factor

We found the factors and prime factorization of 36125 and 36132. The biggest common factor number is the GCF number.
So the greatest common factor 36125 and 36132 is 1.

Also check out the Least Common Multiple of 36125 and 36132

Properties of GCF 36125 and 36132

(i) The GCF of 36125 and 36132 is associative

GCF of 36125 and 36132 = GCF of 36132 and 36125

Related Greatest Common Factor of 36125

Related Greatest Common Factor of 36132

Frequently Asked Questions on GCF of 36125 and 36132

1. What is the GCF of 36125 and 36132?

Answer: GCF of 36125 and 36132 is 1.

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 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.

4. How to Find the GCF of 36125 and 36132?

Answer:

Greatest Common Factor of 36125 and 36132 = 1

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 36132

36132 = 2 x 2 x 3 x 3011

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 36125 and 36132 is 1