What is the Greatest Common Factor of 9898 and 9906?

Greatest common factor (GCF) of 9898 and 9906 is 2.

GCF(9898,9906) = 2

We will now calculate the prime factors of 9898 and 9906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9898 and 9906.

How to find the GCF of 9898 and 9906?

We will first find the prime factorization of 9898 and 9906. After we will calculate the factors of 9898 and 9906 and find the biggest common factor number .

Step-1: Prime Factorization of 9898

Prime factors of 9898 are 2, 7, 101. Prime factorization of 9898 in exponential form is:

9898 = 2¹ × 7² × 101¹

Step-2: Prime Factorization of 9906

Prime factors of 9906 are 2, 3, 13, 127. Prime factorization of 9906 in exponential form is:

9906 = 2¹ × 3¹ × 13¹ × 127¹

Step-3: Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949

Step-4: Factors of 9906

List of positive integer factors of 9906 that divides 9898 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9898 and 9906. The biggest common factor number is the GCF number.
So the greatest common factor 9898 and 9906 is 2.

Also check out the Least Common Multiple of 9898 and 9906