Greatest Common Factor of 1558 and 1566

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 1558, 1566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1558 and 1566 is 2.

GCF(1558,1566) = 2

GCF of 1558 and 1566

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

GCF of:
and

Greatest Common Factor of 1558 and 1566

GCF of 1558 and 1566 is 2

Prime Factorization of 1558


2 1558
19 779
41 41
1

Prime factors of 1558 are 2,19,41. Prime factorization of 1558 in exponential form is:

1558 = 21×191×411

Prime Factorization of 1566


2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 1566 are 2,3,29. Prime factorization of 1566 in exponential form is:

1566 = 21×33×291

∴ So by taking common prime factors GCF of 1558 and 1566 is 2

Greatest Common Factor of 1558 and 1566 by matching factors method

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1,2,19,38,41,82,779,1558

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Greatest Common Factor

We found the factors and prime factorization of 1558 and 1566. The biggest common factor number is the GCF number.
So the greatest common factor 1558 and 1566 is 2.

Also check out the Least Common Multiple of 1558 and 1566

Properties of GCF 1558 and 1566

(i) The GCF of 1558 and 1566 is associative

GCF of 1558 and 1566 = GCF of 1566 and 1558

Related Greatest Common Factor of 1558

Related Greatest Common Factor of 1566

Frequently Asked Questions on GCF of 1558 and 1566

1. What is the GCF of 1558 and 1566?

Answer: GCF of 1558 and 1566 is 2.

2. What are the Factors of 1558?

Answer: Factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558. There are 8 integers that are factors of 1558. The greatest factor of 1558 is 1558.

3. What are the Factors of 1566?

Answer: Factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566. There are 16 integers that are factors of 1566. The greatest factor of 1566 is 1566.

4. How to Find the GCF of 1558 and 1566?

Answer:

Greatest Common Factor of 1558 and 1566 = 2

Step 1: Find the prime factorization of 1558

1558 = 2 x 19 x 41

Step 2: Find the prime factorization of 1566

1566 = 2 x 3 x 3 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

Step 4: Therefore, the greatest common factor of 1558 and 1566 is 2