What is the Greatest Common Factor of 97185 and 97202?

Greatest common factor (GCF) of 97185 and 97202 is 1.

GCF(97185,97202) = 1

We will now calculate the prime factors of 97185 and 97202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97185 and 97202.

How to find the GCF of 97185 and 97202?

We will first find the prime factorization of 97185 and 97202. After we will calculate the factors of 97185 and 97202 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 97202

Prime factors of 97202 are 2, 7, 53, 131. Prime factorization of 97202 in exponential form is:

97202 = 2¹ × 7¹ × 53¹ × 131¹

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 97202

List of positive integer factors of 97202 that divides 97185 without a remainder.

1, 2, 7, 14, 53, 106, 131, 262, 371, 742, 917, 1834, 6943, 13886, 48601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97185 and 97202. The biggest common factor number is the GCF number.
So the greatest common factor 97185 and 97202 is 1.

Also check out the Least Common Multiple of 97185 and 97202