What is the Greatest Common Factor of 98475 and 98489?

Greatest common factor (GCF) of 98475 and 98489 is 1.

GCF(98475,98489) = 1

We will now calculate the prime factors of 98475 and 98489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98475 and 98489.

How to find the GCF of 98475 and 98489?

We will first find the prime factorization of 98475 and 98489. After we will calculate the factors of 98475 and 98489 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 98489

Prime factors of 98489 are 149, 661. Prime factorization of 98489 in exponential form is:

98489 = 149¹ × 661¹

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 98489

List of positive integer factors of 98489 that divides 98475 without a remainder.

1, 149, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98475 and 98489. The biggest common factor number is the GCF number.
So the greatest common factor 98475 and 98489 is 1.

Also check out the Least Common Multiple of 98475 and 98489