Greatest Common Factor of 5658 and 5664

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, 5664 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5658 and 5664 is 6.

GCF(5658,5664) = 6

GCF of 5658 and 5664

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

GCF of:
and

Greatest Common Factor of 5658 and 5664

GCF of 5658 and 5664 is 6

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 5664


2 5664
2 2832
2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 5664 are 2,3,59. Prime factorization of 5664 in exponential form is:

5664 = 25×31×591

∴ So by taking common prime factors GCF of 5658 and 5664 is 6

Greatest Common Factor of 5658 and 5664 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 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Greatest Common Factor

We found the factors and prime factorization of 5658 and 5664. The biggest common factor number is the GCF number.
So the greatest common factor 5658 and 5664 is 6.

Also check out the Least Common Multiple of 5658 and 5664

Properties of GCF 5658 and 5664

(i) The GCF of 5658 and 5664 is associative

GCF of 5658 and 5664 = GCF of 5664 and 5658

Related Greatest Common Factor of 5658

Related Greatest Common Factor of 5664

Frequently Asked Questions on GCF of 5658 and 5664

1. What is the GCF of 5658 and 5664?

Answer: GCF of 5658 and 5664 is 6.

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 5664?

Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.

4. How to Find the GCF of 5658 and 5664?

Answer:

Greatest Common Factor of 5658 and 5664 = 6

Step 1: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

Step 2: Find the prime factorization of 5664

5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5658 and 5664 is 6