Greatest Common Factor of 9090 and 9098

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 9090, 9098 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9090 and 9098 is 2.

GCF(9090,9098) = 2

GCF of 9090 and 9098

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

GCF of:
and

Greatest Common Factor of 9090 and 9098

GCF of 9090 and 9098 is 2

Prime Factorization of 9090


2 9090
3 4545
3 1515
5 505
101 101
1

Prime factors of 9090 are 2,3,5,101. Prime factorization of 9090 in exponential form is:

9090 = 21×32×51×1011

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

∴ So by taking common prime factors GCF of 9090 and 9098 is 2

Greatest Common Factor of 9090 and 9098 by matching factors method

Factors of 9090

List of positive integer factors of 9090 that divides 9090 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090

Factors of 9098

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

1,2,4549,9098

Greatest Common Factor

We found the factors and prime factorization of 9090 and 9098. The biggest common factor number is the GCF number.
So the greatest common factor 9090 and 9098 is 2.

Also check out the Least Common Multiple of 9090 and 9098

Properties of GCF 9090 and 9098

(i) The GCF of 9090 and 9098 is associative

GCF of 9090 and 9098 = GCF of 9098 and 9090

Related Greatest Common Factor of 9090

Related Greatest Common Factor of 9098

Frequently Asked Questions on GCF of 9090 and 9098

1. What is the GCF of 9090 and 9098?

Answer: GCF of 9090 and 9098 is 2.

2. What are the Factors of 9090?

Answer: Factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090. There are 24 integers that are factors of 9090. The greatest factor of 9090 is 9090.

3. 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.

4. How to Find the GCF of 9090 and 9098?

Answer:

Greatest Common Factor of 9090 and 9098 = 2

Step 1: Find the prime factorization of 9090

9090 = 2 x 3 x 3 x 5 x 101

Step 2: Find the prime factorization of 9098

9098 = 2 x 4549

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 9090 and 9098 is 2