Greatest Common Factor of 9102 and 9105

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 9102, 9105 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9102 and 9105 is 3.

GCF(9102,9105) = 3

GCF of 9102 and 9105

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

GCF of:
and

Greatest Common Factor of 9102 and 9105

GCF of 9102 and 9105 is 3

Prime Factorization of 9102


2 9102
3 4551
37 1517
41 41
1

Prime factors of 9102 are 2,3,37,41. Prime factorization of 9102 in exponential form is:

9102 = 21×31×371×411

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

∴ So by taking common prime factors GCF of 9102 and 9105 is 3

Greatest Common Factor of 9102 and 9105 by matching factors method

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1,2,3,6,37,41,74,82,111,123,222,246,1517,3034,4551,9102

Factors of 9105

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

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

Greatest Common Factor

We found the factors and prime factorization of 9102 and 9105. The biggest common factor number is the GCF number.
So the greatest common factor 9102 and 9105 is 3.

Also check out the Least Common Multiple of 9102 and 9105

Properties of GCF 9102 and 9105

(i) The GCF of 9102 and 9105 is associative

GCF of 9102 and 9105 = GCF of 9105 and 9102

Related Greatest Common Factor of 9102

Related Greatest Common Factor of 9105

Frequently Asked Questions on GCF of 9102 and 9105

1. What is the GCF of 9102 and 9105?

Answer: GCF of 9102 and 9105 is 3.

2. What are the Factors of 9102?

Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.

3. 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.

4. How to Find the GCF of 9102 and 9105?

Answer:

Greatest Common Factor of 9102 and 9105 = 3

Step 1: Find the prime factorization of 9102

9102 = 2 x 3 x 37 x 41

Step 2: Find the prime factorization of 9105

9105 = 3 x 5 x 607

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 9102 and 9105 is 3