Greatest Common Factor of 13318 and 13324

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 13318, 13324 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13318 and 13324 is 2.

GCF(13318,13324) = 2

GCF of 13318 and 13324

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

GCF of:
and

Greatest Common Factor of 13318 and 13324

GCF of 13318 and 13324 is 2

Prime Factorization of 13318


2 13318
6659 6659
1

Prime factors of 13318 are 2,6659. Prime factorization of 13318 in exponential form is:

13318 = 21×66591

Prime Factorization of 13324


2 13324
2 6662
3331 3331
1

Prime factors of 13324 are 2,3331. Prime factorization of 13324 in exponential form is:

13324 = 22×33311

∴ So by taking common prime factors GCF of 13318 and 13324 is 2

Greatest Common Factor of 13318 and 13324 by matching factors method

Factors of 13318

List of positive integer factors of 13318 that divides 13318 without a remainder.

1,2,6659,13318

Factors of 13324

List of positive integer factors of 13324 that divides 13324 without a remainder.

1,2,4,3331,6662,13324

Greatest Common Factor

We found the factors and prime factorization of 13318 and 13324. The biggest common factor number is the GCF number.
So the greatest common factor 13318 and 13324 is 2.

Also check out the Least Common Multiple of 13318 and 13324

Properties of GCF 13318 and 13324

(i) The GCF of 13318 and 13324 is associative

GCF of 13318 and 13324 = GCF of 13324 and 13318

Related Greatest Common Factor of 13318

Related Greatest Common Factor of 13324

Frequently Asked Questions on GCF of 13318 and 13324

1. What is the GCF of 13318 and 13324?

Answer: GCF of 13318 and 13324 is 2.

2. What are the Factors of 13318?

Answer: Factors of 13318 are 1, 2, 6659, 13318. There are 4 integers that are factors of 13318. The greatest factor of 13318 is 13318.

3. What are the Factors of 13324?

Answer: Factors of 13324 are 1, 2, 4, 3331, 6662, 13324. There are 6 integers that are factors of 13324. The greatest factor of 13324 is 13324.

4. How to Find the GCF of 13318 and 13324?

Answer:

Greatest Common Factor of 13318 and 13324 = 2

Step 1: Find the prime factorization of 13318

13318 = 2 x 6659

Step 2: Find the prime factorization of 13324

13324 = 2 x 2 x 3331

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13318 and 13324 is 2