What is the Greatest Common Factor of 97317 and 97321?

Greatest common factor (GCF) of 97317 and 97321 is 1.

GCF(97317,97321) = 1

We will now calculate the prime factors of 97317 and 97321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97317 and 97321.

How to find the GCF of 97317 and 97321?

We will first find the prime factorization of 97317 and 97321. After we will calculate the factors of 97317 and 97321 and find the biggest common factor number .

Step-1: Prime Factorization of 97317

Prime factors of 97317 are 3, 11, 983. Prime factorization of 97317 in exponential form is:

97317 = 3² × 11¹ × 983¹

Step-2: Prime Factorization of 97321

Prime factors of 97321 are 7, 13903. Prime factorization of 97321 in exponential form is:

97321 = 7¹ × 13903¹

Step-3: Factors of 97317

List of positive integer factors of 97317 that divides 97317 without a remainder.

1, 3, 9, 11, 33, 99, 983, 2949, 8847, 10813, 32439

Step-4: Factors of 97321

List of positive integer factors of 97321 that divides 97317 without a remainder.

1, 7, 13903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97317 and 97321. The biggest common factor number is the GCF number.
So the greatest common factor 97317 and 97321 is 1.

Also check out the Least Common Multiple of 97317 and 97321