Greatest Common Factor of 5362 and 5364

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 5362, 5364 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5362 and 5364 is 2.

GCF(5362,5364) = 2

GCF of 5362 and 5364

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

GCF of:
and

Greatest Common Factor of 5362 and 5364

GCF of 5362 and 5364 is 2

Prime Factorization of 5362


2 5362
7 2681
383 383
1

Prime factors of 5362 are 2,7,383. Prime factorization of 5362 in exponential form is:

5362 = 21×71×3831

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

∴ So by taking common prime factors GCF of 5362 and 5364 is 2

Greatest Common Factor of 5362 and 5364 by matching factors method

Factors of 5362

List of positive integer factors of 5362 that divides 5362 without a remainder.

1,2,7,14,383,766,2681,5362

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

Greatest Common Factor

We found the factors and prime factorization of 5362 and 5364. The biggest common factor number is the GCF number.
So the greatest common factor 5362 and 5364 is 2.

Also check out the Least Common Multiple of 5362 and 5364

Properties of GCF 5362 and 5364

(i) The GCF of 5362 and 5364 is associative

GCF of 5362 and 5364 = GCF of 5364 and 5362

Related Greatest Common Factor of 5362

Related Greatest Common Factor of 5364

Frequently Asked Questions on GCF of 5362 and 5364

1. What is the GCF of 5362 and 5364?

Answer: GCF of 5362 and 5364 is 2.

2. What are the Factors of 5362?

Answer: Factors of 5362 are 1, 2, 7, 14, 383, 766, 2681, 5362. There are 8 integers that are factors of 5362. The greatest factor of 5362 is 5362.

3. 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.

4. How to Find the GCF of 5362 and 5364?

Answer:

Greatest Common Factor of 5362 and 5364 = 2

Step 1: Find the prime factorization of 5362

5362 = 2 x 7 x 383

Step 2: Find the prime factorization of 5364

5364 = 2 x 2 x 3 x 3 x 149

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 5362 and 5364 is 2