Greatest Common Factor of 5564 and 5572

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, 5572 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5564 and 5572 is 4.

GCF(5564,5572) = 4

GCF of 5564 and 5572

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

GCF of:
and

Greatest Common Factor of 5564 and 5572

GCF of 5564 and 5572 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 5572


2 5572
2 2786
7 1393
199 199
1

Prime factors of 5572 are 2,7,199. Prime factorization of 5572 in exponential form is:

5572 = 22×71×1991

∴ So by taking common prime factors GCF of 5564 and 5572 is 4

Greatest Common Factor of 5564 and 5572 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 5572

List of positive integer factors of 5572 that divides 5572 without a remainder.

1,2,4,7,14,28,199,398,796,1393,2786,5572

Greatest Common Factor

We found the factors and prime factorization of 5564 and 5572. The biggest common factor number is the GCF number.
So the greatest common factor 5564 and 5572 is 4.

Also check out the Least Common Multiple of 5564 and 5572

Properties of GCF 5564 and 5572

(i) The GCF of 5564 and 5572 is associative

GCF of 5564 and 5572 = GCF of 5572 and 5564

Related Greatest Common Factor of 5564

Related Greatest Common Factor of 5572

Frequently Asked Questions on GCF of 5564 and 5572

1. What is the GCF of 5564 and 5572?

Answer: GCF of 5564 and 5572 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 5572?

Answer: Factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572. There are 12 integers that are factors of 5572. The greatest factor of 5572 is 5572.

4. How to Find the GCF of 5564 and 5572?

Answer:

Greatest Common Factor of 5564 and 5572 = 4

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

Step 2: Find the prime factorization of 5572

5572 = 2 x 2 x 7 x 199

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 5572 is 4