What is the Greatest Common Factor of 97204 and 97217?

Greatest common factor (GCF) of 97204 and 97217 is 1.

GCF(97204,97217) = 1

We will now calculate the prime factors of 97204 and 97217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97204 and 97217.

How to find the GCF of 97204 and 97217?

We will first find the prime factorization of 97204 and 97217. After we will calculate the factors of 97204 and 97217 and find the biggest common factor number .

Step-1: Prime Factorization of 97204

Prime factors of 97204 are 2, 19, 1279. Prime factorization of 97204 in exponential form is:

97204 = 2² × 19¹ × 1279¹

Step-2: Prime Factorization of 97217

Prime factors of 97217 are 67, 1451. Prime factorization of 97217 in exponential form is:

97217 = 67¹ × 1451¹

Step-3: Factors of 97204

List of positive integer factors of 97204 that divides 97204 without a remainder.

1, 2, 4, 19, 38, 76, 1279, 2558, 5116, 24301, 48602

Step-4: Factors of 97217

List of positive integer factors of 97217 that divides 97204 without a remainder.

1, 67, 1451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97204 and 97217. The biggest common factor number is the GCF number.
So the greatest common factor 97204 and 97217 is 1.

Also check out the Least Common Multiple of 97204 and 97217