What is the Greatest Common Factor of 98301 and 98315?

Greatest common factor (GCF) of 98301 and 98315 is 7.

GCF(98301,98315) = 7

We will now calculate the prime factors of 98301 and 98315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98301 and 98315.

How to find the GCF of 98301 and 98315?

We will first find the prime factorization of 98301 and 98315. After we will calculate the factors of 98301 and 98315 and find the biggest common factor number .

Step-1: Prime Factorization of 98301

Prime factors of 98301 are 3, 7, 31, 151. Prime factorization of 98301 in exponential form is:

98301 = 3¹ × 7¹ × 31¹ × 151¹

Step-2: Prime Factorization of 98315

Prime factors of 98315 are 5, 7, 53. Prime factorization of 98315 in exponential form is:

98315 = 5¹ × 7¹ × 53²

Step-3: Factors of 98301

List of positive integer factors of 98301 that divides 98301 without a remainder.

1, 3, 7, 21, 31, 93, 151, 217, 453, 651, 1057, 3171, 4681, 14043, 32767

Step-4: Factors of 98315

List of positive integer factors of 98315 that divides 98301 without a remainder.

1, 5, 7, 35, 53, 265, 371, 1855, 2809, 14045, 19663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98301 and 98315. The biggest common factor number is the GCF number.
So the greatest common factor 98301 and 98315 is 7.

Also check out the Least Common Multiple of 98301 and 98315