What is the Greatest Common Factor of 98274 and 98289?

Greatest common factor (GCF) of 98274 and 98289 is 3.

GCF(98274,98289) = 3

We will now calculate the prime factors of 98274 and 98289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98274 and 98289.

How to find the GCF of 98274 and 98289?

We will first find the prime factorization of 98274 and 98289. After we will calculate the factors of 98274 and 98289 and find the biggest common factor number .

Step-1: Prime Factorization of 98274

Prime factors of 98274 are 2, 3, 11, 1489. Prime factorization of 98274 in exponential form is:

98274 = 2¹ × 3¹ × 11¹ × 1489¹

Step-2: 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-3: Factors of 98274

List of positive integer factors of 98274 that divides 98274 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1489, 2978, 4467, 8934, 16379, 32758, 49137

Step-4: Factors of 98289

List of positive integer factors of 98289 that divides 98274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98274 and 98289. The biggest common factor number is the GCF number.
So the greatest common factor 98274 and 98289 is 3.

Also check out the Least Common Multiple of 98274 and 98289