What is the Greatest Common Factor of 92385 and 92394?

Greatest common factor (GCF) of 92385 and 92394 is 9.

GCF(92385,92394) = 9

We will now calculate the prime factors of 92385 and 92394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92385 and 92394.

How to find the GCF of 92385 and 92394?

We will first find the prime factorization of 92385 and 92394. After we will calculate the factors of 92385 and 92394 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 92394

Prime factors of 92394 are 2, 3, 29, 59. Prime factorization of 92394 in exponential form is:

92394 = 2¹ × 3³ × 29¹ × 59¹

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 92394

List of positive integer factors of 92394 that divides 92385 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 59, 87, 118, 174, 177, 261, 354, 522, 531, 783, 1062, 1566, 1593, 1711, 3186, 3422, 5133, 10266, 15399, 30798, 46197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92385 and 92394. The biggest common factor number is the GCF number.
So the greatest common factor 92385 and 92394 is 9.

Also check out the Least Common Multiple of 92385 and 92394