Greatest Common Factor of 5358 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 5358, 5364 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5358 and 5364 is 6.

GCF(5358,5364) = 6

GCF of 5358 and 5364

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

GCF of:
and

Greatest Common Factor of 5358 and 5364

GCF of 5358 and 5364 is 6

Prime Factorization of 5358


2 5358
3 2679
19 893
47 47
1

Prime factors of 5358 are 2,3,19,47. Prime factorization of 5358 in exponential form is:

5358 = 21×31×191×471

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 5358 and 5364 is 6

Greatest Common Factor of 5358 and 5364 by matching factors method

Factors of 5358

List of positive integer factors of 5358 that divides 5358 without a remainder.

1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358

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 5358 and 5364. The biggest common factor number is the GCF number.
So the greatest common factor 5358 and 5364 is 6.

Also check out the Least Common Multiple of 5358 and 5364

Properties of GCF 5358 and 5364

(i) The GCF of 5358 and 5364 is associative

GCF of 5358 and 5364 = GCF of 5364 and 5358

Related Greatest Common Factor of 5358

Related Greatest Common Factor of 5364

Frequently Asked Questions on GCF of 5358 and 5364

1. What is the GCF of 5358 and 5364?

Answer: GCF of 5358 and 5364 is 6.

2. What are the Factors of 5358?

Answer: Factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358. There are 16 integers that are factors of 5358. The greatest factor of 5358 is 5358.

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 5358 and 5364?

Answer:

Greatest Common Factor of 5358 and 5364 = 6

Step 1: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 5358 and 5364 is 6