Greatest Common Factor of 5658 and 5661

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 5658, 5661 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5658 and 5661 is 3.

GCF(5658,5661) = 3

GCF of 5658 and 5661

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

GCF of:
and

Greatest Common Factor of 5658 and 5661

GCF of 5658 and 5661 is 3

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

Prime Factorization of 5661


3 5661
3 1887
17 629
37 37
1

Prime factors of 5661 are 3,17,37. Prime factorization of 5661 in exponential form is:

5661 = 32×171×371

∴ So by taking common prime factors GCF of 5658 and 5661 is 3

Greatest Common Factor of 5658 and 5661 by matching factors method

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

Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1,3,9,17,37,51,111,153,333,629,1887,5661

Greatest Common Factor

We found the factors and prime factorization of 5658 and 5661. The biggest common factor number is the GCF number.
So the greatest common factor 5658 and 5661 is 3.

Also check out the Least Common Multiple of 5658 and 5661

Properties of GCF 5658 and 5661

(i) The GCF of 5658 and 5661 is associative

GCF of 5658 and 5661 = GCF of 5661 and 5658

Related Greatest Common Factor of 5658

Related Greatest Common Factor of 5661

Frequently Asked Questions on GCF of 5658 and 5661

1. What is the GCF of 5658 and 5661?

Answer: GCF of 5658 and 5661 is 3.

2. 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.

3. What are the Factors of 5661?

Answer: Factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661. There are 12 integers that are factors of 5661. The greatest factor of 5661 is 5661.

4. How to Find the GCF of 5658 and 5661?

Answer:

Greatest Common Factor of 5658 and 5661 = 3

Step 1: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

Step 2: Find the prime factorization of 5661

5661 = 3 x 3 x 17 x 37

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 5658 and 5661 is 3