Greatest Common Factor of 36308 and 36316

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 36308, 36316 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36308 and 36316 is 4.

GCF(36308,36316) = 4

GCF of 36308 and 36316

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

GCF of:
and

Greatest Common Factor of 36308 and 36316

GCF of 36308 and 36316 is 4

Prime Factorization of 36308


2 36308
2 18154
29 9077
313 313
1

Prime factors of 36308 are 2,29,313. Prime factorization of 36308 in exponential form is:

36308 = 22×291×3131

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

∴ So by taking common prime factors GCF of 36308 and 36316 is 4

Greatest Common Factor of 36308 and 36316 by matching factors method

Factors of 36308

List of positive integer factors of 36308 that divides 36308 without a remainder.

1,2,4,29,58,116,313,626,1252,9077,18154,36308

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

Greatest Common Factor

We found the factors and prime factorization of 36308 and 36316. The biggest common factor number is the GCF number.
So the greatest common factor 36308 and 36316 is 4.

Also check out the Least Common Multiple of 36308 and 36316

Properties of GCF 36308 and 36316

(i) The GCF of 36308 and 36316 is associative

GCF of 36308 and 36316 = GCF of 36316 and 36308

Related Greatest Common Factor of 36308

Related Greatest Common Factor of 36316

Frequently Asked Questions on GCF of 36308 and 36316

1. What is the GCF of 36308 and 36316?

Answer: GCF of 36308 and 36316 is 4.

2. What are the Factors of 36308?

Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.

3. 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.

4. How to Find the GCF of 36308 and 36316?

Answer:

Greatest Common Factor of 36308 and 36316 = 4

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36316

36316 = 2 x 2 x 7 x 1297

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 36308 and 36316 is 4