Greatest Common Factor of 9561 and 9567

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 9561, 9567 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9561 and 9567 is 3.

GCF(9561,9567) = 3

GCF of 9561 and 9567

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

GCF of:
and

Greatest Common Factor of 9561 and 9567

GCF of 9561 and 9567 is 3

Prime Factorization of 9561


3 9561
3187 3187
1

Prime factors of 9561 are 3,3187. Prime factorization of 9561 in exponential form is:

9561 = 31×31871

Prime Factorization of 9567


3 9567
3 3189
1063 1063
1

Prime factors of 9567 are 3,1063. Prime factorization of 9567 in exponential form is:

9567 = 32×10631

∴ So by taking common prime factors GCF of 9561 and 9567 is 3

Greatest Common Factor of 9561 and 9567 by matching factors method

Factors of 9561

List of positive integer factors of 9561 that divides 9561 without a remainder.

1,3,3187,9561

Factors of 9567

List of positive integer factors of 9567 that divides 9567 without a remainder.

1,3,9,1063,3189,9567

Greatest Common Factor

We found the factors and prime factorization of 9561 and 9567. The biggest common factor number is the GCF number.
So the greatest common factor 9561 and 9567 is 3.

Also check out the Least Common Multiple of 9561 and 9567

Properties of GCF 9561 and 9567

(i) The GCF of 9561 and 9567 is associative

GCF of 9561 and 9567 = GCF of 9567 and 9561

Related Greatest Common Factor of 9561

Related Greatest Common Factor of 9567

Frequently Asked Questions on GCF of 9561 and 9567

1. What is the GCF of 9561 and 9567?

Answer: GCF of 9561 and 9567 is 3.

2. What are the Factors of 9561?

Answer: Factors of 9561 are 1, 3, 3187, 9561. There are 4 integers that are factors of 9561. The greatest factor of 9561 is 9561.

3. What are the Factors of 9567?

Answer: Factors of 9567 are 1, 3, 9, 1063, 3189, 9567. There are 6 integers that are factors of 9567. The greatest factor of 9567 is 9567.

4. How to Find the GCF of 9561 and 9567?

Answer:

Greatest Common Factor of 9561 and 9567 = 3

Step 1: Find the prime factorization of 9561

9561 = 3 x 3187

Step 2: Find the prime factorization of 9567

9567 = 3 x 3 x 1063

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9561 and 9567 is 3