Greatest Common Factor of 9098 and 9102

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, 9102 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9098 and 9102 is 2.

GCF(9098,9102) = 2

GCF of 9098 and 9102

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

GCF of:
and

Greatest Common Factor of 9098 and 9102

GCF of 9098 and 9102 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 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

∴ So by taking common prime factors GCF of 9098 and 9102 is 2

Greatest Common Factor of 9098 and 9102 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 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

Greatest Common Factor

We found the factors and prime factorization of 9098 and 9102. The biggest common factor number is the GCF number.
So the greatest common factor 9098 and 9102 is 2.

Also check out the Least Common Multiple of 9098 and 9102

Properties of GCF 9098 and 9102

(i) The GCF of 9098 and 9102 is associative

GCF of 9098 and 9102 = GCF of 9102 and 9098

Related Greatest Common Factor of 9098

Related Greatest Common Factor of 9102

Frequently Asked Questions on GCF of 9098 and 9102

1. What is the GCF of 9098 and 9102?

Answer: GCF of 9098 and 9102 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 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.

4. How to Find the GCF of 9098 and 9102?

Answer:

Greatest Common Factor of 9098 and 9102 = 2

Step 1: Find the prime factorization of 9098

9098 = 2 x 4549

Step 2: Find the prime factorization of 9102

9102 = 2 x 3 x 37 x 41

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 9102 is 2