What is the Greatest Common Factor of 98310 and 98325?

Greatest common factor (GCF) of 98310 and 98325 is 15.

GCF(98310,98325) = 15

We will now calculate the prime factors of 98310 and 98325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98310 and 98325.

How to find the GCF of 98310 and 98325?

We will first find the prime factorization of 98310 and 98325. After we will calculate the factors of 98310 and 98325 and find the biggest common factor number .

Step-1: Prime Factorization of 98310

Prime factors of 98310 are 2, 3, 5, 29, 113. Prime factorization of 98310 in exponential form is:

98310 = 2¹ × 3¹ × 5¹ × 29¹ × 113¹

Step-2: Prime Factorization of 98325

Prime factors of 98325 are 3, 5, 19, 23. Prime factorization of 98325 in exponential form is:

98325 = 3² × 5² × 19¹ × 23¹

Step-3: Factors of 98310

List of positive integer factors of 98310 that divides 98310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 113, 145, 174, 226, 290, 339, 435, 565, 678, 870, 1130, 1695, 3277, 3390, 6554, 9831, 16385, 19662, 32770, 49155

Step-4: Factors of 98325

List of positive integer factors of 98325 that divides 98310 without a remainder.

1, 3, 5, 9, 15, 19, 23, 25, 45, 57, 69, 75, 95, 115, 171, 207, 225, 285, 345, 437, 475, 575, 855, 1035, 1311, 1425, 1725, 2185, 3933, 4275, 5175, 6555, 10925, 19665, 32775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98310 and 98325. The biggest common factor number is the GCF number.
So the greatest common factor 98310 and 98325 is 15.

Also check out the Least Common Multiple of 98310 and 98325