Greatest Common Factor of 556 and 562

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

Greatest common factor (GCF) of 556 and 562 is 2.

GCF(556,562) = 2

GCF of 556 and 562

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

GCF of:
and

Greatest Common Factor of 556 and 562

GCF of 556 and 562 is 2

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 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

∴ So by taking common prime factors GCF of 556 and 562 is 2

Greatest Common Factor of 556 and 562 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 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors and prime factorization of 556 and 562. The biggest common factor number is the GCF number.
So the greatest common factor 556 and 562 is 2.

Also check out the Least Common Multiple of 556 and 562

Properties of GCF 556 and 562

(i) The GCF of 556 and 562 is associative

GCF of 556 and 562 = GCF of 562 and 556

Related Greatest Common Factor of 556

Related Greatest Common Factor of 562

Frequently Asked Questions on GCF of 556 and 562

1. What is the GCF of 556 and 562?

Answer: GCF of 556 and 562 is 2.

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 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the GCF of 556 and 562?

Answer:

Greatest Common Factor of 556 and 562 = 2

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 562

562 = 2 x 281

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 556 and 562 is 2