What is the Greatest Common Factor of 97365 and 97374?

Greatest common factor (GCF) of 97365 and 97374 is 3.

GCF(97365,97374) = 3

We will now calculate the prime factors of 97365 and 97374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97365 and 97374.

How to find the GCF of 97365 and 97374?

We will first find the prime factorization of 97365 and 97374. After we will calculate the factors of 97365 and 97374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97374

Prime factors of 97374 are 2, 3, 16229. Prime factorization of 97374 in exponential form is:

97374 = 2¹ × 3¹ × 16229¹

Step-3: Factors of 97365

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

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

Step-4: Factors of 97374

List of positive integer factors of 97374 that divides 97365 without a remainder.

1, 2, 3, 6, 16229, 32458, 48687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97365 and 97374. The biggest common factor number is the GCF number.
So the greatest common factor 97365 and 97374 is 3.

Also check out the Least Common Multiple of 97365 and 97374