Greatest Common Factor of 1555 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 1555, 1563 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1555 and 1563 is 1.

GCF(1555,1563) = 1

GCF of 1555 and 1563

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

GCF of:
and

Greatest Common Factor of 1555 and 1563

GCF of 1555 and 1563 is 1

Prime Factorization of 1555


5 1555
311 311
1

Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:

1555 = 51×3111

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 1555 and 1563 is 1

Greatest Common Factor of 1555 and 1563 by matching factors method

Factors of 1555

List of positive integer factors of 1555 that divides 1555 without a remainder.

1,5,311,1555

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 1555 and 1563. The biggest common factor number is the GCF number.
So the greatest common factor 1555 and 1563 is 1.

Also check out the Least Common Multiple of 1555 and 1563

Properties of GCF 1555 and 1563

(i) The GCF of 1555 and 1563 is associative

GCF of 1555 and 1563 = GCF of 1563 and 1555

Related Greatest Common Factor of 1555

Related Greatest Common Factor of 1563

Frequently Asked Questions on GCF of 1555 and 1563

1. What is the GCF of 1555 and 1563?

Answer: GCF of 1555 and 1563 is 1.

2. What are the Factors of 1555?

Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.

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 1555 and 1563?

Answer:

Greatest Common Factor of 1555 and 1563 = 1

Step 1: Find the prime factorization of 1555

1555 = 5 x 311

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 1555 and 1563 is 1