Greatest Common Factor of 5358 and 5362

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

Greatest common factor (GCF) of 5358 and 5362 is 2.

GCF(5358,5362) = 2

GCF of 5358 and 5362

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

GCF of:
and

Greatest Common Factor of 5358 and 5362

GCF of 5358 and 5362 is 2

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 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

∴ So by taking common prime factors GCF of 5358 and 5362 is 2

Greatest Common Factor of 5358 and 5362 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 5362

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

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

Greatest Common Factor

We found the factors and prime factorization of 5358 and 5362. The biggest common factor number is the GCF number.
So the greatest common factor 5358 and 5362 is 2.

Also check out the Least Common Multiple of 5358 and 5362

Properties of GCF 5358 and 5362

(i) The GCF of 5358 and 5362 is associative

GCF of 5358 and 5362 = GCF of 5362 and 5358

Related Greatest Common Factor of 5358

Related Greatest Common Factor of 5362

Frequently Asked Questions on GCF of 5358 and 5362

1. What is the GCF of 5358 and 5362?

Answer: GCF of 5358 and 5362 is 2.

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 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.

4. How to Find the GCF of 5358 and 5362?

Answer:

Greatest Common Factor of 5358 and 5362 = 2

Step 1: Find the prime factorization of 5358

5358 = 2 x 3 x 19 x 47

Step 2: Find the prime factorization of 5362

5362 = 2 x 7 x 383

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 5358 and 5362 is 2