What is the Greatest Common Factor of 92378 and 92398?

Greatest common factor (GCF) of 92378 and 92398 is 2.

GCF(92378,92398) = 2

We will now calculate the prime factors of 92378 and 92398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92378 and 92398.

How to find the GCF of 92378 and 92398?

We will first find the prime factorization of 92378 and 92398. After we will calculate the factors of 92378 and 92398 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 92398

Prime factors of 92398 are 2, 46199. Prime factorization of 92398 in exponential form is:

92398 = 2¹ × 46199¹

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 92398

List of positive integer factors of 92398 that divides 92378 without a remainder.

1, 2, 46199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92378 and 92398. The biggest common factor number is the GCF number.
So the greatest common factor 92378 and 92398 is 2.

Also check out the Least Common Multiple of 92378 and 92398