What is the Greatest Common Factor of 98295 and 98301?

Greatest common factor (GCF) of 98295 and 98301 is 3.

GCF(98295,98301) = 3

We will now calculate the prime factors of 98295 and 98301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98295 and 98301.

How to find the GCF of 98295 and 98301?

We will first find the prime factorization of 98295 and 98301. After we will calculate the factors of 98295 and 98301 and find the biggest common factor number .

Step-1: Prime Factorization of 98295

Prime factors of 98295 are 3, 5, 6553. Prime factorization of 98295 in exponential form is:

98295 = 3¹ × 5¹ × 6553¹

Step-2: 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-3: Factors of 98295

List of positive integer factors of 98295 that divides 98295 without a remainder.

1, 3, 5, 15, 6553, 19659, 32765

Step-4: Factors of 98301

List of positive integer factors of 98301 that divides 98295 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98295 and 98301. The biggest common factor number is the GCF number.
So the greatest common factor 98295 and 98301 is 3.

Also check out the Least Common Multiple of 98295 and 98301