Greatest Common Factor of 36316 and 36323

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 36316, 36323 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36316 and 36323 is 7.

GCF(36316,36323) = 7

GCF of 36316 and 36323

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

GCF of:
and

Greatest Common Factor of 36316 and 36323

GCF of 36316 and 36323 is 7

Prime Factorization of 36316


2 36316
2 18158
7 9079
1297 1297
1

Prime factors of 36316 are 2,7,1297. Prime factorization of 36316 in exponential form is:

36316 = 22×71×12971

Prime Factorization of 36323


7 36323
5189 5189
1

Prime factors of 36323 are 7,5189. Prime factorization of 36323 in exponential form is:

36323 = 71×51891

∴ So by taking common prime factors GCF of 36316 and 36323 is 7

Greatest Common Factor of 36316 and 36323 by matching factors method

Factors of 36316

List of positive integer factors of 36316 that divides 36316 without a remainder.

1,2,4,7,14,28,1297,2594,5188,9079,18158,36316

Factors of 36323

List of positive integer factors of 36323 that divides 36323 without a remainder.

1,7,5189,36323

Greatest Common Factor

We found the factors and prime factorization of 36316 and 36323. The biggest common factor number is the GCF number.
So the greatest common factor 36316 and 36323 is 7.

Also check out the Least Common Multiple of 36316 and 36323

Properties of GCF 36316 and 36323

(i) The GCF of 36316 and 36323 is associative

GCF of 36316 and 36323 = GCF of 36323 and 36316

Related Greatest Common Factor of 36316

Related Greatest Common Factor of 36323

Frequently Asked Questions on GCF of 36316 and 36323

1. What is the GCF of 36316 and 36323?

Answer: GCF of 36316 and 36323 is 7.

2. What are the Factors of 36316?

Answer: Factors of 36316 are 1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316. There are 12 integers that are factors of 36316. The greatest factor of 36316 is 36316.

3. What are the Factors of 36323?

Answer: Factors of 36323 are 1, 7, 5189, 36323. There are 4 integers that are factors of 36323. The greatest factor of 36323 is 36323.

4. How to Find the GCF of 36316 and 36323?

Answer:

Greatest Common Factor of 36316 and 36323 = 7

Step 1: Find the prime factorization of 36316

36316 = 2 x 2 x 7 x 1297

Step 2: Find the prime factorization of 36323

36323 = 7 x 5189

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

GCF = 7

Step 4: Therefore, the greatest common factor of 36316 and 36323 is 7