What is the Greatest Common Factor of 97150 and 97165?

Greatest common factor (GCF) of 97150 and 97165 is 5.

GCF(97150,97165) = 5

We will now calculate the prime factors of 97150 and 97165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97150 and 97165.

How to find the GCF of 97150 and 97165?

We will first find the prime factorization of 97150 and 97165. After we will calculate the factors of 97150 and 97165 and find the biggest common factor number .

Step-1: Prime Factorization of 97150

Prime factors of 97150 are 2, 5, 29, 67. Prime factorization of 97150 in exponential form is:

97150 = 2¹ × 5² × 29¹ × 67¹

Step-2: Prime Factorization of 97165

Prime factors of 97165 are 5, 19433. Prime factorization of 97165 in exponential form is:

97165 = 5¹ × 19433¹

Step-3: Factors of 97150

List of positive integer factors of 97150 that divides 97150 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 67, 134, 145, 290, 335, 670, 725, 1450, 1675, 1943, 3350, 3886, 9715, 19430, 48575

Step-4: Factors of 97165

List of positive integer factors of 97165 that divides 97150 without a remainder.

1, 5, 19433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97150 and 97165. The biggest common factor number is the GCF number.
So the greatest common factor 97150 and 97165 is 5.

Also check out the Least Common Multiple of 97150 and 97165