Greatest Common Factor of 9098 and 9100

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 9098, 9100 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9098 and 9100 is 2.

GCF(9098,9100) = 2

GCF of 9098 and 9100

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

GCF of:
and

Greatest Common Factor of 9098 and 9100

GCF of 9098 and 9100 is 2

Prime Factorization of 9098


2 9098
4549 4549
1

Prime factors of 9098 are 2,4549. Prime factorization of 9098 in exponential form is:

9098 = 21×45491

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

∴ So by taking common prime factors GCF of 9098 and 9100 is 2

Greatest Common Factor of 9098 and 9100 by matching factors method

Factors of 9098

List of positive integer factors of 9098 that divides 9098 without a remainder.

1,2,4549,9098

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

Greatest Common Factor

We found the factors and prime factorization of 9098 and 9100. The biggest common factor number is the GCF number.
So the greatest common factor 9098 and 9100 is 2.

Also check out the Least Common Multiple of 9098 and 9100

Properties of GCF 9098 and 9100

(i) The GCF of 9098 and 9100 is associative

GCF of 9098 and 9100 = GCF of 9100 and 9098

Related Greatest Common Factor of 9098

Related Greatest Common Factor of 9100

Frequently Asked Questions on GCF of 9098 and 9100

1. What is the GCF of 9098 and 9100?

Answer: GCF of 9098 and 9100 is 2.

2. What are the Factors of 9098?

Answer: Factors of 9098 are 1, 2, 4549, 9098. There are 4 integers that are factors of 9098. The greatest factor of 9098 is 9098.

3. 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.

4. How to Find the GCF of 9098 and 9100?

Answer:

Greatest Common Factor of 9098 and 9100 = 2

Step 1: Find the prime factorization of 9098

9098 = 2 x 4549

Step 2: Find the prime factorization of 9100

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 9098 and 9100 is 2