Greatest Common Factor of 5660 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 5660, 5664 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5660 and 5664 is 4.

GCF(5660,5664) = 4

GCF of 5660 and 5664

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

GCF of:
and

Greatest Common Factor of 5660 and 5664

GCF of 5660 and 5664 is 4

Prime Factorization of 5660


2 5660
2 2830
5 1415
283 283
1

Prime factors of 5660 are 2,5,283. Prime factorization of 5660 in exponential form is:

5660 = 22×51×2831

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 5660 and 5664 is 4

Greatest Common Factor of 5660 and 5664 by matching factors method

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

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 5660 and 5664. The biggest common factor number is the GCF number.
So the greatest common factor 5660 and 5664 is 4.

Also check out the Least Common Multiple of 5660 and 5664

Properties of GCF 5660 and 5664

(i) The GCF of 5660 and 5664 is associative

GCF of 5660 and 5664 = GCF of 5664 and 5660

Related Greatest Common Factor of 5660

Related Greatest Common Factor of 5664

Frequently Asked Questions on GCF of 5660 and 5664

1. What is the GCF of 5660 and 5664?

Answer: GCF of 5660 and 5664 is 4.

2. What are the Factors of 5660?

Answer: Factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660. There are 12 integers that are factors of 5660. The greatest factor of 5660 is 5660.

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 5660 and 5664?

Answer:

Greatest Common Factor of 5660 and 5664 = 4

Step 1: Find the prime factorization of 5660

5660 = 2 x 2 x 5 x 283

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 2 = 4

Step 4: Therefore, the greatest common factor of 5660 and 5664 is 4