Greatest Common Factor of 9556 and 9563

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 9556, 9563 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9556 and 9563 is 1.

GCF(9556,9563) = 1

GCF of 9556 and 9563

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

GCF of:
and

Greatest Common Factor of 9556 and 9563

GCF of 9556 and 9563 is 1

Prime Factorization of 9556


2 9556
2 4778
2389 2389
1

Prime factors of 9556 are 2,2389. Prime factorization of 9556 in exponential form is:

9556 = 22×23891

Prime Factorization of 9563


73 9563
131 131
1

Prime factors of 9563 are 73,131. Prime factorization of 9563 in exponential form is:

9563 = 731×1311

∴ So by taking common prime factors GCF of 9556 and 9563 is 1

Greatest Common Factor of 9556 and 9563 by matching factors method

Factors of 9556

List of positive integer factors of 9556 that divides 9556 without a remainder.

1,2,4,2389,4778,9556

Factors of 9563

List of positive integer factors of 9563 that divides 9563 without a remainder.

1,73,131,9563

Greatest Common Factor

We found the factors and prime factorization of 9556 and 9563. The biggest common factor number is the GCF number.
So the greatest common factor 9556 and 9563 is 1.

Also check out the Least Common Multiple of 9556 and 9563

Properties of GCF 9556 and 9563

(i) The GCF of 9556 and 9563 is associative

GCF of 9556 and 9563 = GCF of 9563 and 9556

Frequently Asked Questions on GCF of 9556 and 9563

1. What is the GCF of 9556 and 9563?

Answer: GCF of 9556 and 9563 is 1.

2. What are the Factors of 9556?

Answer: Factors of 9556 are 1, 2, 4, 2389, 4778, 9556. There are 6 integers that are factors of 9556. The greatest factor of 9556 is 9556.

3. What are the Factors of 9563?

Answer: Factors of 9563 are 1, 73, 131, 9563. There are 4 integers that are factors of 9563. The greatest factor of 9563 is 9563.

4. How to Find the GCF of 9556 and 9563?

Answer:

Greatest Common Factor of 9556 and 9563 = 1

Step 1: Find the prime factorization of 9556

9556 = 2 x 2 x 2389

Step 2: Find the prime factorization of 9563

9563 = 73 x 131

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 9556 and 9563 is 1