What is the Greatest Common Factor of 92378 and 92389?

Greatest common factor (GCF) of 92378 and 92389 is 11.

GCF(92378,92389) = 11

We will now calculate the prime factors of 92378 and 92389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92378 and 92389.

How to find the GCF of 92378 and 92389?

We will first find the prime factorization of 92378 and 92389. After we will calculate the factors of 92378 and 92389 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92389

Prime factors of 92389 are 11, 37, 227. Prime factorization of 92389 in exponential form is:

92389 = 11¹ × 37¹ × 227¹

Step-3: Factors of 92378

List of positive integer factors of 92378 that divides 92378 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

Step-4: Factors of 92389

List of positive integer factors of 92389 that divides 92378 without a remainder.

1, 11, 37, 227, 407, 2497, 8399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92378 and 92389. The biggest common factor number is the GCF number.
So the greatest common factor 92378 and 92389 is 11.

Also check out the Least Common Multiple of 92378 and 92389