What is the Greatest Common Factor of 97185 and 97201?

Greatest common factor (GCF) of 97185 and 97201 is 1.

GCF(97185,97201) = 1

We will now calculate the prime factors of 97185 and 97201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97185 and 97201.

How to find the GCF of 97185 and 97201?

We will first find the prime factorization of 97185 and 97201. After we will calculate the factors of 97185 and 97201 and find the biggest common factor number .

Step-1: Prime Factorization of 97185

Prime factors of 97185 are 3, 5, 11, 19, 31. Prime factorization of 97185 in exponential form is:

97185 = 3¹ × 5¹ × 11¹ × 19¹ × 31¹

Step-2: Prime Factorization of 97201

Prime factors of 97201 are 13, 7477. Prime factorization of 97201 in exponential form is:

97201 = 13¹ × 7477¹

Step-3: Factors of 97185

List of positive integer factors of 97185 that divides 97185 without a remainder.

1, 3, 5, 11, 15, 19, 31, 33, 55, 57, 93, 95, 155, 165, 209, 285, 341, 465, 589, 627, 1023, 1045, 1705, 1767, 2945, 3135, 5115, 6479, 8835, 19437, 32395

Step-4: Factors of 97201

List of positive integer factors of 97201 that divides 97185 without a remainder.

1, 13, 7477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97185 and 97201. The biggest common factor number is the GCF number.
So the greatest common factor 97185 and 97201 is 1.

Also check out the Least Common Multiple of 97185 and 97201