What is the Greatest Common Factor of 97359 and 97365?

Greatest common factor (GCF) of 97359 and 97365 is 3.

GCF(97359,97365) = 3

We will now calculate the prime factors of 97359 and 97365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97359 and 97365.

How to find the GCF of 97359 and 97365?

We will first find the prime factorization of 97359 and 97365. After we will calculate the factors of 97359 and 97365 and find the biggest common factor number .

Step-1: Prime Factorization of 97359

Prime factors of 97359 are 3, 17, 23, 83. Prime factorization of 97359 in exponential form is:

97359 = 3¹ × 17¹ × 23¹ × 83¹

Step-2: Prime Factorization of 97365

Prime factors of 97365 are 3, 5, 6491. Prime factorization of 97365 in exponential form is:

97365 = 3¹ × 5¹ × 6491¹

Step-3: Factors of 97359

List of positive integer factors of 97359 that divides 97359 without a remainder.

1, 3, 17, 23, 51, 69, 83, 249, 391, 1173, 1411, 1909, 4233, 5727, 32453

Step-4: Factors of 97365

List of positive integer factors of 97365 that divides 97359 without a remainder.

1, 3, 5, 15, 6491, 19473, 32455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97359 and 97365. The biggest common factor number is the GCF number.
So the greatest common factor 97359 and 97365 is 3.

Also check out the Least Common Multiple of 97359 and 97365