What is the Greatest Common Factor of 98272 and 98289?

Greatest common factor (GCF) of 98272 and 98289 is 1.

GCF(98272,98289) = 1

We will now calculate the prime factors of 98272 and 98289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98272 and 98289.

How to find the GCF of 98272 and 98289?

We will first find the prime factorization of 98272 and 98289. After we will calculate the factors of 98272 and 98289 and find the biggest common factor number .

Step-1: Prime Factorization of 98272

Prime factors of 98272 are 2, 37, 83. Prime factorization of 98272 in exponential form is:

98272 = 2⁵ × 37¹ × 83¹

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 98272

List of positive integer factors of 98272 that divides 98272 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 83, 148, 166, 296, 332, 592, 664, 1184, 1328, 2656, 3071, 6142, 12284, 24568, 49136

Step-4: Factors of 98289

List of positive integer factors of 98289 that divides 98272 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 98272 and 98289. The biggest common factor number is the GCF number.
So the greatest common factor 98272 and 98289 is 1.

Also check out the Least Common Multiple of 98272 and 98289