What is the Greatest Common Factor of 98475 and 98491?

Greatest common factor (GCF) of 98475 and 98491 is 1.

GCF(98475,98491) = 1

We will now calculate the prime factors of 98475 and 98491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98475 and 98491.

How to find the GCF of 98475 and 98491?

We will first find the prime factorization of 98475 and 98491. After we will calculate the factors of 98475 and 98491 and find the biggest common factor number .

Step-1: Prime Factorization of 98475

Prime factors of 98475 are 3, 5, 13, 101. Prime factorization of 98475 in exponential form is:

98475 = 3¹ × 5² × 13¹ × 101¹

Step-2: Prime Factorization of 98491

Prime factors of 98491 are 98491. Prime factorization of 98491 in exponential form is:

98491 = 98491¹

Step-3: Factors of 98475

List of positive integer factors of 98475 that divides 98475 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 101, 195, 303, 325, 505, 975, 1313, 1515, 2525, 3939, 6565, 7575, 19695, 32825

Step-4: Factors of 98491

List of positive integer factors of 98491 that divides 98475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98475 and 98491. The biggest common factor number is the GCF number.
So the greatest common factor 98475 and 98491 is 1.

Also check out the Least Common Multiple of 98475 and 98491