Greatest Common Factor of 9100 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 9100, 9105 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9100 and 9105 is 5.

GCF(9100,9105) = 5

GCF of 9100 and 9105

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

GCF of:
and

Greatest Common Factor of 9100 and 9105

GCF of 9100 and 9105 is 5

Prime Factorization of 9100


2 9100
2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 9100 are 2,5,7,13. Prime factorization of 9100 in exponential form is:

9100 = 22×52×71×131

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 9100 and 9105 is 5

Greatest Common Factor of 9100 and 9105 by matching factors method

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

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 9100 and 9105. The biggest common factor number is the GCF number.
So the greatest common factor 9100 and 9105 is 5.

Also check out the Least Common Multiple of 9100 and 9105

Properties of GCF 9100 and 9105

(i) The GCF of 9100 and 9105 is associative

GCF of 9100 and 9105 = GCF of 9105 and 9100

Related Greatest Common Factor of 9100

Related Greatest Common Factor of 9105

Frequently Asked Questions on GCF of 9100 and 9105

1. What is the GCF of 9100 and 9105?

Answer: GCF of 9100 and 9105 is 5.

2. What are the Factors of 9100?

Answer: Factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100. There are 36 integers that are factors of 9100. The greatest factor of 9100 is 9100.

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 9100 and 9105?

Answer:

Greatest Common Factor of 9100 and 9105 = 5

Step 1: Find the prime factorization of 9100

9100 = 2 x 2 x 5 x 5 x 7 x 13

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 = 5

Step 4: Therefore, the greatest common factor of 9100 and 9105 is 5