What is the Greatest Common Factor of 92368 and 92382?

Greatest common factor (GCF) of 92368 and 92382 is 2.

GCF(92368,92382) = 2

We will now calculate the prime factors of 92368 and 92382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92368 and 92382.

How to find the GCF of 92368 and 92382?

We will first find the prime factorization of 92368 and 92382. After we will calculate the factors of 92368 and 92382 and find the biggest common factor number .

Step-1: Prime Factorization of 92368

Prime factors of 92368 are 2, 23, 251. Prime factorization of 92368 in exponential form is:

92368 = 2⁴ × 23¹ × 251¹

Step-2: Prime Factorization of 92382

Prime factors of 92382 are 2, 3, 89, 173. Prime factorization of 92382 in exponential form is:

92382 = 2¹ × 3¹ × 89¹ × 173¹

Step-3: Factors of 92368

List of positive integer factors of 92368 that divides 92368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 251, 368, 502, 1004, 2008, 4016, 5773, 11546, 23092, 46184

Step-4: Factors of 92382

List of positive integer factors of 92382 that divides 92368 without a remainder.

1, 2, 3, 6, 89, 173, 178, 267, 346, 519, 534, 1038, 15397, 30794, 46191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92368 and 92382. The biggest common factor number is the GCF number.
So the greatest common factor 92368 and 92382 is 2.

Also check out the Least Common Multiple of 92368 and 92382