What is the Greatest Common Factor of 97395 and 97413?

Greatest common factor (GCF) of 97395 and 97413 is 3.

GCF(97395,97413) = 3

We will now calculate the prime factors of 97395 and 97413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97395 and 97413.

How to find the GCF of 97395 and 97413?

We will first find the prime factorization of 97395 and 97413. After we will calculate the factors of 97395 and 97413 and find the biggest common factor number .

Step-1: Prime Factorization of 97395

Prime factors of 97395 are 3, 5, 43, 151. Prime factorization of 97395 in exponential form is:

97395 = 3¹ × 5¹ × 43¹ × 151¹

Step-2: Prime Factorization of 97413

Prime factors of 97413 are 3, 19, 1709. Prime factorization of 97413 in exponential form is:

97413 = 3¹ × 19¹ × 1709¹

Step-3: Factors of 97395

List of positive integer factors of 97395 that divides 97395 without a remainder.

1, 3, 5, 15, 43, 129, 151, 215, 453, 645, 755, 2265, 6493, 19479, 32465

Step-4: Factors of 97413

List of positive integer factors of 97413 that divides 97395 without a remainder.

1, 3, 19, 57, 1709, 5127, 32471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97395 and 97413. The biggest common factor number is the GCF number.
So the greatest common factor 97395 and 97413 is 3.

Also check out the Least Common Multiple of 97395 and 97413