What is the Greatest Common Factor of 98289 and 98295?

Greatest common factor (GCF) of 98289 and 98295 is 3.

GCF(98289,98295) = 3

We will now calculate the prime factors of 98289 and 98295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98289 and 98295.

How to find the GCF of 98289 and 98295?

We will first find the prime factorization of 98289 and 98295. After we will calculate the factors of 98289 and 98295 and find the biggest common factor number .

Step-1: Prime Factorization of 98289

Prime factors of 98289 are 3, 67, 163. Prime factorization of 98289 in exponential form is:

98289 = 3² × 67¹ × 163¹

Step-2: Prime Factorization of 98295

Prime factors of 98295 are 3, 5, 6553. Prime factorization of 98295 in exponential form is:

98295 = 3¹ × 5¹ × 6553¹

Step-3: Factors of 98289

List of positive integer factors of 98289 that divides 98289 without a remainder.

1, 3, 9, 67, 163, 201, 489, 603, 1467, 10921, 32763

Step-4: Factors of 98295

List of positive integer factors of 98295 that divides 98289 without a remainder.

1, 3, 5, 15, 6553, 19659, 32765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98289 and 98295. The biggest common factor number is the GCF number.
So the greatest common factor 98289 and 98295 is 3.

Also check out the Least Common Multiple of 98289 and 98295