Greatest Common Factor of 3563 and 3565

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 3563, 3565 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3563 and 3565 is 1.

GCF(3563,3565) = 1

GCF of 3563 and 3565

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

GCF of:
and

Greatest Common Factor of 3563 and 3565

GCF of 3563 and 3565 is 1

Prime Factorization of 3563


7 3563
509 509
1

Prime factors of 3563 are 7,509. Prime factorization of 3563 in exponential form is:

3563 = 71×5091

Prime Factorization of 3565


5 3565
23 713
31 31
1

Prime factors of 3565 are 5,23,31. Prime factorization of 3565 in exponential form is:

3565 = 51×231×311

∴ So by taking common prime factors GCF of 3563 and 3565 is 1

Greatest Common Factor of 3563 and 3565 by matching factors method

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1,5,23,31,115,155,713,3565

Greatest Common Factor

We found the factors and prime factorization of 3563 and 3565. The biggest common factor number is the GCF number.
So the greatest common factor 3563 and 3565 is 1.

Also check out the Least Common Multiple of 3563 and 3565

Properties of GCF 3563 and 3565

(i) The GCF of 3563 and 3565 is associative

GCF of 3563 and 3565 = GCF of 3565 and 3563

Related Greatest Common Factor of 3563

Related Greatest Common Factor of 3565

Frequently Asked Questions on GCF of 3563 and 3565

1. What is the GCF of 3563 and 3565?

Answer: GCF of 3563 and 3565 is 1.

2. What are the Factors of 3563?

Answer: Factors of 3563 are 1, 7, 509, 3563. There are 4 integers that are factors of 3563. The greatest factor of 3563 is 3563.

3. What are the Factors of 3565?

Answer: Factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565. There are 8 integers that are factors of 3565. The greatest factor of 3565 is 3565.

4. How to Find the GCF of 3563 and 3565?

Answer:

Greatest Common Factor of 3563 and 3565 = 1

Step 1: Find the prime factorization of 3563

3563 = 7 x 509

Step 2: Find the prime factorization of 3565

3565 = 5 x 23 x 31

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 3563 and 3565 is 1