What is the Greatest Common Factor of 98460 and 98475?

Greatest common factor (GCF) of 98460 and 98475 is 15.

GCF(98460,98475) = 15

We will now calculate the prime factors of 98460 and 98475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98460 and 98475.

How to find the GCF of 98460 and 98475?

We will first find the prime factorization of 98460 and 98475. After we will calculate the factors of 98460 and 98475 and find the biggest common factor number .

Step-1: Prime Factorization of 98460

Prime factors of 98460 are 2, 3, 5, 547. Prime factorization of 98460 in exponential form is:

98460 = 2² × 3² × 5¹ × 547¹

Step-2: 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-3: Factors of 98460

List of positive integer factors of 98460 that divides 98460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 547, 1094, 1641, 2188, 2735, 3282, 4923, 5470, 6564, 8205, 9846, 10940, 16410, 19692, 24615, 32820, 49230

Step-4: Factors of 98475

List of positive integer factors of 98475 that divides 98460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98460 and 98475. The biggest common factor number is the GCF number.
So the greatest common factor 98460 and 98475 is 15.

Also check out the Least Common Multiple of 98460 and 98475