Greatest Common Factor of 9105 and 9113

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, 9113 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9105 and 9113 is 1.

GCF(9105,9113) = 1

GCF of 9105 and 9113

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

GCF of:
and

Greatest Common Factor of 9105 and 9113

GCF of 9105 and 9113 is 1

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 9113


13 9113
701 701
1

Prime factors of 9113 are 13,701. Prime factorization of 9113 in exponential form is:

9113 = 131×7011

∴ So by taking common prime factors GCF of 9105 and 9113 is 1

Greatest Common Factor of 9105 and 9113 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 9113

List of positive integer factors of 9113 that divides 9113 without a remainder.

1,13,701,9113

Greatest Common Factor

We found the factors and prime factorization of 9105 and 9113. The biggest common factor number is the GCF number.
So the greatest common factor 9105 and 9113 is 1.

Also check out the Least Common Multiple of 9105 and 9113

Properties of GCF 9105 and 9113

(i) The GCF of 9105 and 9113 is associative

GCF of 9105 and 9113 = GCF of 9113 and 9105

Related Greatest Common Factor of 9105

Related Greatest Common Factor of 9113

Frequently Asked Questions on GCF of 9105 and 9113

1. What is the GCF of 9105 and 9113?

Answer: GCF of 9105 and 9113 is 1.

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 9113?

Answer: Factors of 9113 are 1, 13, 701, 9113. There are 4 integers that are factors of 9113. The greatest factor of 9113 is 9113.

4. How to Find the GCF of 9105 and 9113?

Answer:

Greatest Common Factor of 9105 and 9113 = 1

Step 1: Find the prime factorization of 9105

9105 = 3 x 5 x 607

Step 2: Find the prime factorization of 9113

9113 = 13 x 701

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 9105 and 9113 is 1