What is the Greatest Common Factor of 97371 and 97389?

Greatest common factor (GCF) of 97371 and 97389 is 9.

GCF(97371,97389) = 9

We will now calculate the prime factors of 97371 and 97389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97371 and 97389.

How to find the GCF of 97371 and 97389?

We will first find the prime factorization of 97371 and 97389. After we will calculate the factors of 97371 and 97389 and find the biggest common factor number .

Step-1: Prime Factorization of 97371

Prime factors of 97371 are 3, 31, 349. Prime factorization of 97371 in exponential form is:

97371 = 3² × 31¹ × 349¹

Step-2: Prime Factorization of 97389

Prime factors of 97389 are 3, 3607. Prime factorization of 97389 in exponential form is:

97389 = 3³ × 3607¹

Step-3: Factors of 97371

List of positive integer factors of 97371 that divides 97371 without a remainder.

1, 3, 9, 31, 93, 279, 349, 1047, 3141, 10819, 32457

Step-4: Factors of 97389

List of positive integer factors of 97389 that divides 97371 without a remainder.

1, 3, 9, 27, 3607, 10821, 32463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97371 and 97389. The biggest common factor number is the GCF number.
So the greatest common factor 97371 and 97389 is 9.

Also check out the Least Common Multiple of 97371 and 97389