Greatest Common Factor of 5664 and 5666

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 5664, 5666 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5664 and 5666 is 2.

GCF(5664,5666) = 2

GCF of 5664 and 5666

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

GCF of:
and

Greatest Common Factor of 5664 and 5666

GCF of 5664 and 5666 is 2

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

Prime Factorization of 5666


2 5666
2833 2833
1

Prime factors of 5666 are 2,2833. Prime factorization of 5666 in exponential form is:

5666 = 21×28331

∴ So by taking common prime factors GCF of 5664 and 5666 is 2

Greatest Common Factor of 5664 and 5666 by matching factors method

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

Factors of 5666

List of positive integer factors of 5666 that divides 5666 without a remainder.

1,2,2833,5666

Greatest Common Factor

We found the factors and prime factorization of 5664 and 5666. The biggest common factor number is the GCF number.
So the greatest common factor 5664 and 5666 is 2.

Also check out the Least Common Multiple of 5664 and 5666

Properties of GCF 5664 and 5666

(i) The GCF of 5664 and 5666 is associative

GCF of 5664 and 5666 = GCF of 5666 and 5664

Related Greatest Common Factor of 5664

Related Greatest Common Factor of 5666

Frequently Asked Questions on GCF of 5664 and 5666

1. What is the GCF of 5664 and 5666?

Answer: GCF of 5664 and 5666 is 2.

2. 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.

3. What are the Factors of 5666?

Answer: Factors of 5666 are 1, 2, 2833, 5666. There are 4 integers that are factors of 5666. The greatest factor of 5666 is 5666.

4. How to Find the GCF of 5664 and 5666?

Answer:

Greatest Common Factor of 5664 and 5666 = 2

Step 1: Find the prime factorization of 5664

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

Step 2: Find the prime factorization of 5666

5666 = 2 x 2833

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 5664 and 5666 is 2