Greatest Common Factor of 36327 and 36332

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 36327, 36332 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36327 and 36332 is 1.

GCF(36327,36332) = 1

GCF of 36327 and 36332

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

GCF of:
and

Greatest Common Factor of 36327 and 36332

GCF of 36327 and 36332 is 1

Prime Factorization of 36327


3 36327
12109 12109
1

Prime factors of 36327 are 3,12109. Prime factorization of 36327 in exponential form is:

36327 = 31×121091

Prime Factorization of 36332


2 36332
2 18166
31 9083
293 293
1

Prime factors of 36332 are 2,31,293. Prime factorization of 36332 in exponential form is:

36332 = 22×311×2931

∴ So by taking common prime factors GCF of 36327 and 36332 is 1

Greatest Common Factor of 36327 and 36332 by matching factors method

Factors of 36327

List of positive integer factors of 36327 that divides 36327 without a remainder.

1,3,12109,36327

Factors of 36332

List of positive integer factors of 36332 that divides 36332 without a remainder.

1,2,4,31,62,124,293,586,1172,9083,18166,36332

Greatest Common Factor

We found the factors and prime factorization of 36327 and 36332. The biggest common factor number is the GCF number.
So the greatest common factor 36327 and 36332 is 1.

Also check out the Least Common Multiple of 36327 and 36332

Properties of GCF 36327 and 36332

(i) The GCF of 36327 and 36332 is associative

GCF of 36327 and 36332 = GCF of 36332 and 36327

Frequently Asked Questions on GCF of 36327 and 36332

1. What is the GCF of 36327 and 36332?

Answer: GCF of 36327 and 36332 is 1.

2. What are the Factors of 36327?

Answer: Factors of 36327 are 1, 3, 12109, 36327. There are 4 integers that are factors of 36327. The greatest factor of 36327 is 36327.

3. What are the Factors of 36332?

Answer: Factors of 36332 are 1, 2, 4, 31, 62, 124, 293, 586, 1172, 9083, 18166, 36332. There are 12 integers that are factors of 36332. The greatest factor of 36332 is 36332.

4. How to Find the GCF of 36327 and 36332?

Answer:

Greatest Common Factor of 36327 and 36332 = 1

Step 1: Find the prime factorization of 36327

36327 = 3 x 12109

Step 2: Find the prime factorization of 36332

36332 = 2 x 2 x 31 x 293

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 36327 and 36332 is 1