Greatest Common Factor of 5655 and 5658

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 5655, 5658 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5655 and 5658 is 3.

GCF(5655,5658) = 3

GCF of 5655 and 5658

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

GCF of:
and

Greatest Common Factor of 5655 and 5658

GCF of 5655 and 5658 is 3

Prime Factorization of 5655


3 5655
5 1885
13 377
29 29
1

Prime factors of 5655 are 3,5,13,29. Prime factorization of 5655 in exponential form is:

5655 = 31×51×131×291

Prime Factorization of 5658


2 5658
3 2829
23 943
41 41
1

Prime factors of 5658 are 2,3,23,41. Prime factorization of 5658 in exponential form is:

5658 = 21×31×231×411

∴ So by taking common prime factors GCF of 5655 and 5658 is 3

Greatest Common Factor of 5655 and 5658 by matching factors method

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658

Greatest Common Factor

We found the factors and prime factorization of 5655 and 5658. The biggest common factor number is the GCF number.
So the greatest common factor 5655 and 5658 is 3.

Also check out the Least Common Multiple of 5655 and 5658

Properties of GCF 5655 and 5658

(i) The GCF of 5655 and 5658 is associative

GCF of 5655 and 5658 = GCF of 5658 and 5655

Related Greatest Common Factor of 5655

Related Greatest Common Factor of 5658

Frequently Asked Questions on GCF of 5655 and 5658

1. What is the GCF of 5655 and 5658?

Answer: GCF of 5655 and 5658 is 3.

2. What are the Factors of 5655?

Answer: Factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655. There are 16 integers that are factors of 5655. The greatest factor of 5655 is 5655.

3. What are the Factors of 5658?

Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.

4. How to Find the GCF of 5655 and 5658?

Answer:

Greatest Common Factor of 5655 and 5658 = 3

Step 1: Find the prime factorization of 5655

5655 = 3 x 5 x 13 x 29

Step 2: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5655 and 5658 is 3