Greatest Common Factor of 5360 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 5360, 5362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5360 and 5362 is 2.

GCF(5360,5362) = 2

GCF of 5360 and 5362

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

GCF of:
and

Greatest Common Factor of 5360 and 5362

GCF of 5360 and 5362 is 2

Prime Factorization of 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2,5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

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 5360 and 5362 is 2

Greatest Common Factor of 5360 and 5362 by matching factors method

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1,2,4,5,8,10,16,20,40,67,80,134,268,335,536,670,1072,1340,2680,5360

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 5360 and 5362. The biggest common factor number is the GCF number.
So the greatest common factor 5360 and 5362 is 2.

Also check out the Least Common Multiple of 5360 and 5362

Properties of GCF 5360 and 5362

(i) The GCF of 5360 and 5362 is associative

GCF of 5360 and 5362 = GCF of 5362 and 5360

Related Greatest Common Factor of 5360

Related Greatest Common Factor of 5362

Frequently Asked Questions on GCF of 5360 and 5362

1. What is the GCF of 5360 and 5362?

Answer: GCF of 5360 and 5362 is 2.

2. What are the Factors of 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

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 5360 and 5362?

Answer:

Greatest Common Factor of 5360 and 5362 = 2

Step 1: Find the prime factorization of 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

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 5360 and 5362 is 2