Greatest Common Factor of 1553 and 1558

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 1553, 1558 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1553 and 1558 is 1.

GCF(1553,1558) = 1

GCF of 1553 and 1558

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

GCF of:
and

Greatest Common Factor of 1553 and 1558

GCF of 1553 and 1558 is 1

Prime Factorization of 1553


1553 1553
1

Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:

1553 = 15531

Prime Factorization of 1558


2 1558
19 779
41 41
1

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

1558 = 21×191×411

∴ So by taking common prime factors GCF of 1553 and 1558 is 1

Greatest Common Factor of 1553 and 1558 by matching factors method

Factors of 1553

List of positive integer factors of 1553 that divides 1553 without a remainder.

1,1553

Factors of 1558

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

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

Greatest Common Factor

We found the factors and prime factorization of 1553 and 1558. The biggest common factor number is the GCF number.
So the greatest common factor 1553 and 1558 is 1.

Also check out the Least Common Multiple of 1553 and 1558

Properties of GCF 1553 and 1558

(i) The GCF of 1553 and 1558 is associative

GCF of 1553 and 1558 = GCF of 1558 and 1553

Related Greatest Common Factor of 1553

Related Greatest Common Factor of 1558

Frequently Asked Questions on GCF of 1553 and 1558

1. What is the GCF of 1553 and 1558?

Answer: GCF of 1553 and 1558 is 1.

2. What are the Factors of 1553?

Answer: Factors of 1553 are 1, 1553. There are 2 integers that are factors of 1553. The greatest factor of 1553 is 1553.

3. 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.

4. How to Find the GCF of 1553 and 1558?

Answer:

Greatest Common Factor of 1553 and 1558 = 1

Step 1: Find the prime factorization of 1553

1553 = 1553

Step 2: Find the prime factorization of 1558

1558 = 2 x 19 x 41

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 1553 and 1558 is 1