What is the Greatest Common Factor of 97185 and 97198?

Greatest common factor (GCF) of 97185 and 97198 is 1.

GCF(97185,97198) = 1

We will now calculate the prime factors of 97185 and 97198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97185 and 97198.

How to find the GCF of 97185 and 97198?

We will first find the prime factorization of 97185 and 97198. After we will calculate the factors of 97185 and 97198 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 97198

Prime factors of 97198 are 2, 23, 2113. Prime factorization of 97198 in exponential form is:

97198 = 2¹ × 23¹ × 2113¹

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 97198

List of positive integer factors of 97198 that divides 97185 without a remainder.

1, 2, 23, 46, 2113, 4226, 48599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97185 and 97198. The biggest common factor number is the GCF number.
So the greatest common factor 97185 and 97198 is 1.

Also check out the Least Common Multiple of 97185 and 97198