Greatest Common Factor of 5364 and 5367

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 5364, 5367 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5364 and 5367 is 3.

GCF(5364,5367) = 3

GCF of 5364 and 5367

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

GCF of:
and

Greatest Common Factor of 5364 and 5367

GCF of 5364 and 5367 is 3

Prime Factorization of 5364


2 5364
2 2682
3 1341
3 447
149 149
1

Prime factors of 5364 are 2,3,149. Prime factorization of 5364 in exponential form is:

5364 = 22×32×1491

Prime Factorization of 5367


3 5367
1789 1789
1

Prime factors of 5367 are 3,1789. Prime factorization of 5367 in exponential form is:

5367 = 31×17891

∴ So by taking common prime factors GCF of 5364 and 5367 is 3

Greatest Common Factor of 5364 and 5367 by matching factors method

Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Greatest Common Factor

We found the factors and prime factorization of 5364 and 5367. The biggest common factor number is the GCF number.
So the greatest common factor 5364 and 5367 is 3.

Also check out the Least Common Multiple of 5364 and 5367

Properties of GCF 5364 and 5367

(i) The GCF of 5364 and 5367 is associative

GCF of 5364 and 5367 = GCF of 5367 and 5364

Related Greatest Common Factor of 5364

Related Greatest Common Factor of 5367

Frequently Asked Questions on GCF of 5364 and 5367

1. What is the GCF of 5364 and 5367?

Answer: GCF of 5364 and 5367 is 3.

2. What are the Factors of 5364?

Answer: Factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364. There are 18 integers that are factors of 5364. The greatest factor of 5364 is 5364.

3. What are the Factors of 5367?

Answer: Factors of 5367 are 1, 3, 1789, 5367. There are 4 integers that are factors of 5367. The greatest factor of 5367 is 5367.

4. How to Find the GCF of 5364 and 5367?

Answer:

Greatest Common Factor of 5364 and 5367 = 3

Step 1: Find the prime factorization of 5364

5364 = 2 x 2 x 3 x 3 x 149

Step 2: Find the prime factorization of 5367

5367 = 3 x 1789

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 5364 and 5367 is 3