Greatest Common Factor of 556 and 564

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 556, 564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 556 and 564 is 4.

GCF(556,564) = 4

GCF of 556 and 564

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

GCF of:
and

Greatest Common Factor of 556 and 564

GCF of 556 and 564 is 4

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

Prime Factorization of 564


2 564
2 282
3 141
47 47
1

Prime factors of 564 are 2,3,47. Prime factorization of 564 in exponential form is:

564 = 22×31×471

∴ So by taking common prime factors GCF of 556 and 564 is 4

Greatest Common Factor of 556 and 564 by matching factors method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors and prime factorization of 556 and 564. The biggest common factor number is the GCF number.
So the greatest common factor 556 and 564 is 4.

Also check out the Least Common Multiple of 556 and 564

Properties of GCF 556 and 564

(i) The GCF of 556 and 564 is associative

GCF of 556 and 564 = GCF of 564 and 556

Related Greatest Common Factor of 556

Related Greatest Common Factor of 564

Frequently Asked Questions on GCF of 556 and 564

1. What is the GCF of 556 and 564?

Answer: GCF of 556 and 564 is 4.

2. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

3. What are the Factors of 564?

Answer: Factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564. There are 12 integers that are factors of 564. The greatest factor of 564 is 564.

4. How to Find the GCF of 556 and 564?

Answer:

Greatest Common Factor of 556 and 564 = 4

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 564

564 = 2 x 2 x 3 x 47

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 556 and 564 is 4