What is the Greatest Common Factor of 98906 and 98924?

Greatest common factor (GCF) of 98906 and 98924 is 2.

GCF(98906,98924) = 2

We will now calculate the prime factors of 98906 and 98924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98906 and 98924.

How to find the GCF of 98906 and 98924?

We will first find the prime factorization of 98906 and 98924. After we will calculate the factors of 98906 and 98924 and find the biggest common factor number .

Step-1: Prime Factorization of 98906

Prime factors of 98906 are 2, 17, 2909. Prime factorization of 98906 in exponential form is:

98906 = 2¹ × 17¹ × 2909¹

Step-2: Prime Factorization of 98924

Prime factors of 98924 are 2, 7, 3533. Prime factorization of 98924 in exponential form is:

98924 = 2² × 7¹ × 3533¹

Step-3: Factors of 98906

List of positive integer factors of 98906 that divides 98906 without a remainder.

1, 2, 17, 34, 2909, 5818, 49453

Step-4: Factors of 98924

List of positive integer factors of 98924 that divides 98906 without a remainder.

1, 2, 4, 7, 14, 28, 3533, 7066, 14132, 24731, 49462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98906 and 98924. The biggest common factor number is the GCF number.
So the greatest common factor 98906 and 98924 is 2.

Also check out the Least Common Multiple of 98906 and 98924