What is the Greatest Common Factor of 92365 and 92378?

Greatest common factor (GCF) of 92365 and 92378 is 13.

GCF(92365,92378) = 13

We will now calculate the prime factors of 92365 and 92378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92365 and 92378.

How to find the GCF of 92365 and 92378?

We will first find the prime factorization of 92365 and 92378. After we will calculate the factors of 92365 and 92378 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 92378

Prime factors of 92378 are 2, 11, 13, 17, 19. Prime factorization of 92378 in exponential form is:

92378 = 2¹ × 11¹ × 13¹ × 17¹ × 19¹

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 92378

List of positive integer factors of 92378 that divides 92365 without a remainder.

1, 2, 11, 13, 17, 19, 22, 26, 34, 38, 143, 187, 209, 221, 247, 286, 323, 374, 418, 442, 494, 646, 2431, 2717, 3553, 4199, 4862, 5434, 7106, 8398, 46189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92365 and 92378. The biggest common factor number is the GCF number.
So the greatest common factor 92365 and 92378 is 13.

Also check out the Least Common Multiple of 92365 and 92378