What is the Greatest Common Factor of 92385 and 92397?

Greatest common factor (GCF) of 92385 and 92397 is 3.

GCF(92385,92397) = 3

We will now calculate the prime factors of 92385 and 92397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92385 and 92397.

How to find the GCF of 92385 and 92397?

We will first find the prime factorization of 92385 and 92397. After we will calculate the factors of 92385 and 92397 and find the biggest common factor number .

Step-1: Prime Factorization of 92385

Prime factors of 92385 are 3, 5, 2053. Prime factorization of 92385 in exponential form is:

92385 = 3² × 5¹ × 2053¹

Step-2: Prime Factorization of 92397

Prime factors of 92397 are 3, 19, 1621. Prime factorization of 92397 in exponential form is:

92397 = 3¹ × 19¹ × 1621¹

Step-3: Factors of 92385

List of positive integer factors of 92385 that divides 92385 without a remainder.

1, 3, 5, 9, 15, 45, 2053, 6159, 10265, 18477, 30795

Step-4: Factors of 92397

List of positive integer factors of 92397 that divides 92385 without a remainder.

1, 3, 19, 57, 1621, 4863, 30799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92385 and 92397. The biggest common factor number is the GCF number.
So the greatest common factor 92385 and 92397 is 3.

Also check out the Least Common Multiple of 92385 and 92397