Greatest Common Factor of 5564 and 5568

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 5564, 5568 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5564 and 5568 is 4.

GCF(5564,5568) = 4

GCF of 5564 and 5568

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

GCF of:
and

Greatest Common Factor of 5564 and 5568

GCF of 5564 and 5568 is 4

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2,13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

Prime Factorization of 5568


2 5568
2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 5568 are 2,3,29. Prime factorization of 5568 in exponential form is:

5568 = 26×31×291

∴ So by taking common prime factors GCF of 5564 and 5568 is 4

Greatest Common Factor of 5564 and 5568 by matching factors method

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1,2,4,13,26,52,107,214,428,1391,2782,5564

Factors of 5568

List of positive integer factors of 5568 that divides 5568 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568

Greatest Common Factor

We found the factors and prime factorization of 5564 and 5568. The biggest common factor number is the GCF number.
So the greatest common factor 5564 and 5568 is 4.

Also check out the Least Common Multiple of 5564 and 5568

Properties of GCF 5564 and 5568

(i) The GCF of 5564 and 5568 is associative

GCF of 5564 and 5568 = GCF of 5568 and 5564

Related Greatest Common Factor of 5564

Related Greatest Common Factor of 5568

Frequently Asked Questions on GCF of 5564 and 5568

1. What is the GCF of 5564 and 5568?

Answer: GCF of 5564 and 5568 is 4.

2. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

3. What are the Factors of 5568?

Answer: Factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568. There are 28 integers that are factors of 5568. The greatest factor of 5568 is 5568.

4. How to Find the GCF of 5564 and 5568?

Answer:

Greatest Common Factor of 5564 and 5568 = 4

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

Step 2: Find the prime factorization of 5568

5568 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29

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 5564 and 5568 is 4