Greatest Common Factor of 1558 and 1563

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, 1563 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1558 and 1563 is 1.

GCF(1558,1563) = 1

GCF of 1558 and 1563

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

GCF of:
and

Greatest Common Factor of 1558 and 1563

GCF of 1558 and 1563 is 1

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 1563


3 1563
521 521
1

Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:

1563 = 31×5211

∴ So by taking common prime factors GCF of 1558 and 1563 is 1

Greatest Common Factor of 1558 and 1563 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 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Greatest Common Factor

We found the factors and prime factorization of 1558 and 1563. The biggest common factor number is the GCF number.
So the greatest common factor 1558 and 1563 is 1.

Also check out the Least Common Multiple of 1558 and 1563

Properties of GCF 1558 and 1563

(i) The GCF of 1558 and 1563 is associative

GCF of 1558 and 1563 = GCF of 1563 and 1558

Related Greatest Common Factor of 1558

Related Greatest Common Factor of 1563

Frequently Asked Questions on GCF of 1558 and 1563

1. What is the GCF of 1558 and 1563?

Answer: GCF of 1558 and 1563 is 1.

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 1563?

Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.

4. How to Find the GCF of 1558 and 1563?

Answer:

Greatest Common Factor of 1558 and 1563 = 1

Step 1: Find the prime factorization of 1558

1558 = 2 x 19 x 41

Step 2: Find the prime factorization of 1563

1563 = 3 x 521

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1558 and 1563 is 1