What is the Greatest Common Factor of 92365 and 92385?

Greatest common factor (GCF) of 92365 and 92385 is 5.

GCF(92365,92385) = 5

We will now calculate the prime factors of 92365 and 92385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92365 and 92385.

How to find the GCF of 92365 and 92385?

We will first find the prime factorization of 92365 and 92385. After we will calculate the factors of 92365 and 92385 and find the biggest common factor number .

Step-1: Prime Factorization of 92365

Prime factors of 92365 are 5, 7, 13, 29. Prime factorization of 92365 in exponential form is:

92365 = 5¹ × 7² × 13¹ × 29¹

Step-2: 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-3: Factors of 92365

List of positive integer factors of 92365 that divides 92365 without a remainder.

1, 5, 7, 13, 29, 35, 49, 65, 91, 145, 203, 245, 377, 455, 637, 1015, 1421, 1885, 2639, 3185, 7105, 13195, 18473

Step-4: Factors of 92385

List of positive integer factors of 92385 that divides 92365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92365 and 92385. The biggest common factor number is the GCF number.
So the greatest common factor 92365 and 92385 is 5.

Also check out the Least Common Multiple of 92365 and 92385