Greatest Common Factor of 9105 and 9111

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 9105, 9111 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9105 and 9111 is 3.

GCF(9105,9111) = 3

GCF of 9105 and 9111

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

GCF of:
and

Greatest Common Factor of 9105 and 9111

GCF of 9105 and 9111 is 3

Prime Factorization of 9105


3 9105
5 3035
607 607
1

Prime factors of 9105 are 3,5,607. Prime factorization of 9105 in exponential form is:

9105 = 31×51×6071

Prime Factorization of 9111


3 9111
3037 3037
1

Prime factors of 9111 are 3,3037. Prime factorization of 9111 in exponential form is:

9111 = 31×30371

∴ So by taking common prime factors GCF of 9105 and 9111 is 3

Greatest Common Factor of 9105 and 9111 by matching factors method

Factors of 9105

List of positive integer factors of 9105 that divides 9105 without a remainder.

1,3,5,15,607,1821,3035,9105

Factors of 9111

List of positive integer factors of 9111 that divides 9111 without a remainder.

1,3,3037,9111

Greatest Common Factor

We found the factors and prime factorization of 9105 and 9111. The biggest common factor number is the GCF number.
So the greatest common factor 9105 and 9111 is 3.

Also check out the Least Common Multiple of 9105 and 9111

Properties of GCF 9105 and 9111

(i) The GCF of 9105 and 9111 is associative

GCF of 9105 and 9111 = GCF of 9111 and 9105

Related Greatest Common Factor of 9105

Related Greatest Common Factor of 9111

Frequently Asked Questions on GCF of 9105 and 9111

1. What is the GCF of 9105 and 9111?

Answer: GCF of 9105 and 9111 is 3.

2. What are the Factors of 9105?

Answer: Factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105. There are 8 integers that are factors of 9105. The greatest factor of 9105 is 9105.

3. What are the Factors of 9111?

Answer: Factors of 9111 are 1, 3, 3037, 9111. There are 4 integers that are factors of 9111. The greatest factor of 9111 is 9111.

4. How to Find the GCF of 9105 and 9111?

Answer:

Greatest Common Factor of 9105 and 9111 = 3

Step 1: Find the prime factorization of 9105

9105 = 3 x 5 x 607

Step 2: Find the prime factorization of 9111

9111 = 3 x 3037

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 9105 and 9111 is 3