Greatest Common Factor of 5362 and 5368

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, 5368 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5362 and 5368 is 2.

GCF(5362,5368) = 2

GCF of 5362 and 5368

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

GCF of:
and

Greatest Common Factor of 5362 and 5368

GCF of 5362 and 5368 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 5368


2 5368
2 2684
2 1342
11 671
61 61
1

Prime factors of 5368 are 2,11,61. Prime factorization of 5368 in exponential form is:

5368 = 23×111×611

∴ So by taking common prime factors GCF of 5362 and 5368 is 2

Greatest Common Factor of 5362 and 5368 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 5368

List of positive integer factors of 5368 that divides 5368 without a remainder.

1,2,4,8,11,22,44,61,88,122,244,488,671,1342,2684,5368

Greatest Common Factor

We found the factors and prime factorization of 5362 and 5368. The biggest common factor number is the GCF number.
So the greatest common factor 5362 and 5368 is 2.

Also check out the Least Common Multiple of 5362 and 5368

Properties of GCF 5362 and 5368

(i) The GCF of 5362 and 5368 is associative

GCF of 5362 and 5368 = GCF of 5368 and 5362

Related Greatest Common Factor of 5362

Related Greatest Common Factor of 5368

Frequently Asked Questions on GCF of 5362 and 5368

1. What is the GCF of 5362 and 5368?

Answer: GCF of 5362 and 5368 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 5368?

Answer: Factors of 5368 are 1, 2, 4, 8, 11, 22, 44, 61, 88, 122, 244, 488, 671, 1342, 2684, 5368. There are 16 integers that are factors of 5368. The greatest factor of 5368 is 5368.

4. How to Find the GCF of 5362 and 5368?

Answer:

Greatest Common Factor of 5362 and 5368 = 2

Step 1: Find the prime factorization of 5362

5362 = 2 x 7 x 383

Step 2: Find the prime factorization of 5368

5368 = 2 x 2 x 2 x 11 x 61

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 5368 is 2