What is the Greatest Common Factor of 98235 and 98250?

Greatest common factor (GCF) of 98235 and 98250 is 15.

GCF(98235,98250) = 15

We will now calculate the prime factors of 98235 and 98250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98235 and 98250.

How to find the GCF of 98235 and 98250?

We will first find the prime factorization of 98235 and 98250. After we will calculate the factors of 98235 and 98250 and find the biggest common factor number .

Step-1: Prime Factorization of 98235

Prime factors of 98235 are 3, 5, 37, 59. Prime factorization of 98235 in exponential form is:

98235 = 3² × 5¹ × 37¹ × 59¹

Step-2: Prime Factorization of 98250

Prime factors of 98250 are 2, 3, 5, 131. Prime factorization of 98250 in exponential form is:

98250 = 2¹ × 3¹ × 5³ × 131¹

Step-3: Factors of 98235

List of positive integer factors of 98235 that divides 98235 without a remainder.

1, 3, 5, 9, 15, 37, 45, 59, 111, 177, 185, 295, 333, 531, 555, 885, 1665, 2183, 2655, 6549, 10915, 19647, 32745

Step-4: Factors of 98250

List of positive integer factors of 98250 that divides 98235 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 131, 150, 250, 262, 375, 393, 655, 750, 786, 1310, 1965, 3275, 3930, 6550, 9825, 16375, 19650, 32750, 49125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98235 and 98250. The biggest common factor number is the GCF number.
So the greatest common factor 98235 and 98250 is 15.

Also check out the Least Common Multiple of 98235 and 98250