What is the Greatest Common Factor of 97360 and 97371?

Greatest common factor (GCF) of 97360 and 97371 is 1.

GCF(97360,97371) = 1

We will now calculate the prime factors of 97360 and 97371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97360 and 97371.

How to find the GCF of 97360 and 97371?

We will first find the prime factorization of 97360 and 97371. After we will calculate the factors of 97360 and 97371 and find the biggest common factor number .

Step-1: Prime Factorization of 97360

Prime factors of 97360 are 2, 5, 1217. Prime factorization of 97360 in exponential form is:

97360 = 2⁴ × 5¹ × 1217¹

Step-2: 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-3: Factors of 97360

List of positive integer factors of 97360 that divides 97360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1217, 2434, 4868, 6085, 9736, 12170, 19472, 24340, 48680

Step-4: Factors of 97371

List of positive integer factors of 97371 that divides 97360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97360 and 97371. The biggest common factor number is the GCF number.
So the greatest common factor 97360 and 97371 is 1.

Also check out the Least Common Multiple of 97360 and 97371