What is the Greatest Common Factor of 98004 and 98022?

Greatest common factor (GCF) of 98004 and 98022 is 6.

GCF(98004,98022) = 6

We will now calculate the prime factors of 98004 and 98022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98004 and 98022.

How to find the GCF of 98004 and 98022?

We will first find the prime factorization of 98004 and 98022. After we will calculate the factors of 98004 and 98022 and find the biggest common factor number .

Step-1: Prime Factorization of 98004

Prime factors of 98004 are 2, 3, 8167. Prime factorization of 98004 in exponential form is:

98004 = 2² × 3¹ × 8167¹

Step-2: Prime Factorization of 98022

Prime factors of 98022 are 2, 3, 17, 31. Prime factorization of 98022 in exponential form is:

98022 = 2¹ × 3¹ × 17¹ × 31²

Step-3: Factors of 98004

List of positive integer factors of 98004 that divides 98004 without a remainder.

1, 2, 3, 4, 6, 12, 8167, 16334, 24501, 32668, 49002

Step-4: Factors of 98022

List of positive integer factors of 98022 that divides 98004 without a remainder.

1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 961, 1054, 1581, 1922, 2883, 3162, 5766, 16337, 32674, 49011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98004 and 98022. The biggest common factor number is the GCF number.
So the greatest common factor 98004 and 98022 is 6.

Also check out the Least Common Multiple of 98004 and 98022