What is the Greatest Common Factor of 98275 and 98289?

Greatest common factor (GCF) of 98275 and 98289 is 1.

GCF(98275,98289) = 1

We will now calculate the prime factors of 98275 and 98289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98275 and 98289.

How to find the GCF of 98275 and 98289?

We will first find the prime factorization of 98275 and 98289. After we will calculate the factors of 98275 and 98289 and find the biggest common factor number .

Step-1: Prime Factorization of 98275

Prime factors of 98275 are 5, 3931. Prime factorization of 98275 in exponential form is:

98275 = 5² × 3931¹

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 98275

List of positive integer factors of 98275 that divides 98275 without a remainder.

1, 5, 25, 3931, 19655

Step-4: Factors of 98289

List of positive integer factors of 98289 that divides 98275 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 98275 and 98289. The biggest common factor number is the GCF number.
So the greatest common factor 98275 and 98289 is 1.

Also check out the Least Common Multiple of 98275 and 98289