What is the Greatest Common Factor of 98322 and 98337?

Greatest common factor (GCF) of 98322 and 98337 is 3.

GCF(98322,98337) = 3

We will now calculate the prime factors of 98322 and 98337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98322 and 98337.

How to find the GCF of 98322 and 98337?

We will first find the prime factorization of 98322 and 98337. After we will calculate the factors of 98322 and 98337 and find the biggest common factor number .

Step-1: Prime Factorization of 98322

Prime factors of 98322 are 2, 3, 7, 2341. Prime factorization of 98322 in exponential form is:

98322 = 2¹ × 3¹ × 7¹ × 2341¹

Step-2: Prime Factorization of 98337

Prime factors of 98337 are 3, 32779. Prime factorization of 98337 in exponential form is:

98337 = 3¹ × 32779¹

Step-3: Factors of 98322

List of positive integer factors of 98322 that divides 98322 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2341, 4682, 7023, 14046, 16387, 32774, 49161

Step-4: Factors of 98337

List of positive integer factors of 98337 that divides 98322 without a remainder.

1, 3, 32779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98322 and 98337. The biggest common factor number is the GCF number.
So the greatest common factor 98322 and 98337 is 3.

Also check out the Least Common Multiple of 98322 and 98337