What is the Greatest Common Factor of 98901 and 98916?

Greatest common factor (GCF) of 98901 and 98916 is 3.

GCF(98901,98916) = 3

We will now calculate the prime factors of 98901 and 98916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98901 and 98916.

How to find the GCF of 98901 and 98916?

We will first find the prime factorization of 98901 and 98916. After we will calculate the factors of 98901 and 98916 and find the biggest common factor number .

Step-1: Prime Factorization of 98901

Prime factors of 98901 are 3, 11, 37. Prime factorization of 98901 in exponential form is:

98901 = 3⁵ × 11¹ × 37¹

Step-2: Prime Factorization of 98916

Prime factors of 98916 are 2, 3, 8243. Prime factorization of 98916 in exponential form is:

98916 = 2² × 3¹ × 8243¹

Step-3: Factors of 98901

List of positive integer factors of 98901 that divides 98901 without a remainder.

1, 3, 9, 11, 27, 33, 37, 81, 99, 111, 243, 297, 333, 407, 891, 999, 1221, 2673, 2997, 3663, 8991, 10989, 32967

Step-4: Factors of 98916

List of positive integer factors of 98916 that divides 98901 without a remainder.

1, 2, 3, 4, 6, 12, 8243, 16486, 24729, 32972, 49458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98901 and 98916. The biggest common factor number is the GCF number.
So the greatest common factor 98901 and 98916 is 3.

Also check out the Least Common Multiple of 98901 and 98916