Greatest Common Factor of 561 and 565

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

Greatest common factor (GCF) of 561 and 565 is 1.

GCF(561,565) = 1

GCF of 561 and 565

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

GCF of:
and

Greatest Common Factor of 561 and 565

GCF of 561 and 565 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 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

∴ So by taking common prime factors GCF of 561 and 565 is 1

Greatest Common Factor of 561 and 565 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 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors and prime factorization of 561 and 565. The biggest common factor number is the GCF number.
So the greatest common factor 561 and 565 is 1.

Also check out the Least Common Multiple of 561 and 565

Properties of GCF 561 and 565

(i) The GCF of 561 and 565 is associative

GCF of 561 and 565 = GCF of 565 and 561

Related Greatest Common Factor of 561

Related Greatest Common Factor of 565

Frequently Asked Questions on GCF of 561 and 565

1. What is the GCF of 561 and 565?

Answer: GCF of 561 and 565 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 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

4. How to Find the GCF of 561 and 565?

Answer:

Greatest Common Factor of 561 and 565 = 1

Step 1: Find the prime factorization of 561

561 = 3 x 11 x 17

Step 2: Find the prime factorization of 565

565 = 5 x 113

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 565 is 1