What is the Greatest Common Factor of 98325 and 98340?

Greatest common factor (GCF) of 98325 and 98340 is 15.

GCF(98325,98340) = 15

We will now calculate the prime factors of 98325 and 98340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98325 and 98340.

How to find the GCF of 98325 and 98340?

We will first find the prime factorization of 98325 and 98340. After we will calculate the factors of 98325 and 98340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98340

Prime factors of 98340 are 2, 3, 5, 11, 149. Prime factorization of 98340 in exponential form is:

98340 = 2² × 3¹ × 5¹ × 11¹ × 149¹

Step-3: Factors of 98325

List of positive integer factors of 98325 that divides 98325 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

Step-4: Factors of 98340

List of positive integer factors of 98340 that divides 98325 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 149, 165, 220, 298, 330, 447, 596, 660, 745, 894, 1490, 1639, 1788, 2235, 2980, 3278, 4470, 4917, 6556, 8195, 8940, 9834, 16390, 19668, 24585, 32780, 49170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98325 and 98340. The biggest common factor number is the GCF number.
So the greatest common factor 98325 and 98340 is 15.

Also check out the Least Common Multiple of 98325 and 98340