Greatest Common Factor of 36309 and 36315

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 36309, 36315 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36309 and 36315 is 3.

GCF(36309,36315) = 3

GCF of 36309 and 36315

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

GCF of:
and

Greatest Common Factor of 36309 and 36315

GCF of 36309 and 36315 is 3

Prime Factorization of 36309


3 36309
7 12103
7 1729
13 247
19 19
1

Prime factors of 36309 are 3,7,13,19. Prime factorization of 36309 in exponential form is:

36309 = 31×72×131×191

Prime Factorization of 36315


3 36315
3 12105
3 4035
5 1345
269 269
1

Prime factors of 36315 are 3,5,269. Prime factorization of 36315 in exponential form is:

36315 = 33×51×2691

∴ So by taking common prime factors GCF of 36309 and 36315 is 3

Greatest Common Factor of 36309 and 36315 by matching factors method

Factors of 36309

List of positive integer factors of 36309 that divides 36309 without a remainder.

1,3,7,13,19,21,39,49,57,91,133,147,247,273,399,637,741,931,1729,1911,2793,5187,12103,36309

Factors of 36315

List of positive integer factors of 36315 that divides 36315 without a remainder.

1,3,5,9,15,27,45,135,269,807,1345,2421,4035,7263,12105,36315

Greatest Common Factor

We found the factors and prime factorization of 36309 and 36315. The biggest common factor number is the GCF number.
So the greatest common factor 36309 and 36315 is 3.

Also check out the Least Common Multiple of 36309 and 36315

Properties of GCF 36309 and 36315

(i) The GCF of 36309 and 36315 is associative

GCF of 36309 and 36315 = GCF of 36315 and 36309

Related Greatest Common Factor of 36309

Related Greatest Common Factor of 36315

Frequently Asked Questions on GCF of 36309 and 36315

1. What is the GCF of 36309 and 36315?

Answer: GCF of 36309 and 36315 is 3.

2. What are the Factors of 36309?

Answer: Factors of 36309 are 1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309. There are 24 integers that are factors of 36309. The greatest factor of 36309 is 36309.

3. What are the Factors of 36315?

Answer: Factors of 36315 are 1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105, 36315. There are 16 integers that are factors of 36315. The greatest factor of 36315 is 36315.

4. How to Find the GCF of 36309 and 36315?

Answer:

Greatest Common Factor of 36309 and 36315 = 3

Step 1: Find the prime factorization of 36309

36309 = 3 x 7 x 7 x 13 x 19

Step 2: Find the prime factorization of 36315

36315 = 3 x 3 x 3 x 5 x 269

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

GCF = 3

Step 4: Therefore, the greatest common factor of 36309 and 36315 is 3