What is the Greatest Common Factor of 71198 and 71217?

Greatest common factor (GCF) of 71198 and 71217 is 1.

GCF(71198,71217) = 1

We will now calculate the prime factors of 71198 and 71217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71198 and 71217.

How to find the GCF of 71198 and 71217?

We will first find the prime factorization of 71198 and 71217. After we will calculate the factors of 71198 and 71217 and find the biggest common factor number .

Step-1: Prime Factorization of 71198

Prime factors of 71198 are 2, 97, 367. Prime factorization of 71198 in exponential form is:

71198 = 2¹ × 97¹ × 367¹

Step-2: Prime Factorization of 71217

Prime factors of 71217 are 3, 41, 193. Prime factorization of 71217 in exponential form is:

71217 = 3² × 41¹ × 193¹

Step-3: Factors of 71198

List of positive integer factors of 71198 that divides 71198 without a remainder.

1, 2, 97, 194, 367, 734, 35599

Step-4: Factors of 71217

List of positive integer factors of 71217 that divides 71198 without a remainder.

1, 3, 9, 41, 123, 193, 369, 579, 1737, 7913, 23739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71198 and 71217. The biggest common factor number is the GCF number.
So the greatest common factor 71198 and 71217 is 1.

Also check out the Least Common Multiple of 71198 and 71217