Greatest Common Factor of 561 and 563

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 561, 563 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 561 and 563 is 1.

GCF(561,563) = 1

GCF of 561 and 563

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

GCF of:
and

Greatest Common Factor of 561 and 563

GCF of 561 and 563 is 1

Prime Factorization of 561


3 561
11 187
17 17
1

Prime factors of 561 are 3,11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

Prime Factorization of 563


563 563
1

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

∴ So by taking common prime factors GCF of 561 and 563 is 1

Greatest Common Factor of 561 and 563 by matching factors method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors and prime factorization of 561 and 563. The biggest common factor number is the GCF number.
So the greatest common factor 561 and 563 is 1.

Also check out the Least Common Multiple of 561 and 563

Properties of GCF 561 and 563

(i) The GCF of 561 and 563 is associative

GCF of 561 and 563 = GCF of 563 and 561

Related Greatest Common Factor of 561

Related Greatest Common Factor of 563

Frequently Asked Questions on GCF of 561 and 563

1. What is the GCF of 561 and 563?

Answer: GCF of 561 and 563 is 1.

2. What are the Factors of 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

3. What are the Factors of 563?

Answer: Factors of 563 are 1, 563. There are 2 integers that are factors of 563. The greatest factor of 563 is 563.

4. How to Find the GCF of 561 and 563?

Answer:

Greatest Common Factor of 561 and 563 = 1

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

Step 2: Find the prime factorization of 563

563 = 563

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 561 and 563 is 1