Greatest Common Factor of 5562 and 5566

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 5562, 5566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5562 and 5566 is 2.

GCF(5562,5566) = 2

GCF of 5562 and 5566

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

GCF of:
and

Greatest Common Factor of 5562 and 5566

GCF of 5562 and 5566 is 2

Prime Factorization of 5562


2 5562
3 2781
3 927
3 309
103 103
1

Prime factors of 5562 are 2,3,103. Prime factorization of 5562 in exponential form is:

5562 = 21×33×1031

Prime Factorization of 5566


2 5566
11 2783
11 253
23 23
1

Prime factors of 5566 are 2,11,23. Prime factorization of 5566 in exponential form is:

5566 = 21×112×231

∴ So by taking common prime factors GCF of 5562 and 5566 is 2

Greatest Common Factor of 5562 and 5566 by matching factors method

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Factors of 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1,2,11,22,23,46,121,242,253,506,2783,5566

Greatest Common Factor

We found the factors and prime factorization of 5562 and 5566. The biggest common factor number is the GCF number.
So the greatest common factor 5562 and 5566 is 2.

Also check out the Least Common Multiple of 5562 and 5566

Properties of GCF 5562 and 5566

(i) The GCF of 5562 and 5566 is associative

GCF of 5562 and 5566 = GCF of 5566 and 5562

Related Greatest Common Factor of 5562

Related Greatest Common Factor of 5566

Frequently Asked Questions on GCF of 5562 and 5566

1. What is the GCF of 5562 and 5566?

Answer: GCF of 5562 and 5566 is 2.

2. What are the Factors of 5562?

Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.

3. What are the Factors of 5566?

Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.

4. How to Find the GCF of 5562 and 5566?

Answer:

Greatest Common Factor of 5562 and 5566 = 2

Step 1: Find the prime factorization of 5562

5562 = 2 x 3 x 3 x 3 x 103

Step 2: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

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 5562 and 5566 is 2