What is the Greatest Common Factor of 98397 and 98412?

Greatest common factor (GCF) of 98397 and 98412 is 3.

GCF(98397,98412) = 3

We will now calculate the prime factors of 98397 and 98412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98397 and 98412.

How to find the GCF of 98397 and 98412?

We will first find the prime factorization of 98397 and 98412. After we will calculate the factors of 98397 and 98412 and find the biggest common factor number .

Step-1: Prime Factorization of 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 3² × 13¹ × 29²

Step-2: Prime Factorization of 98412

Prime factors of 98412 are 2, 3, 59, 139. Prime factorization of 98412 in exponential form is:

98412 = 2² × 3¹ × 59¹ × 139¹

Step-3: Factors of 98397

List of positive integer factors of 98397 that divides 98397 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 841, 1131, 2523, 3393, 7569, 10933, 32799

Step-4: Factors of 98412

List of positive integer factors of 98412 that divides 98397 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 139, 177, 236, 278, 354, 417, 556, 708, 834, 1668, 8201, 16402, 24603, 32804, 49206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98397 and 98412. The biggest common factor number is the GCF number.
So the greatest common factor 98397 and 98412 is 3.

Also check out the Least Common Multiple of 98397 and 98412