What is the Greatest Common Factor of 93364 and 93382?

Greatest common factor (GCF) of 93364 and 93382 is 2.

GCF(93364,93382) = 2

We will now calculate the prime factors of 93364 and 93382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93364 and 93382.

How to find the GCF of 93364 and 93382?

We will first find the prime factorization of 93364 and 93382. After we will calculate the factors of 93364 and 93382 and find the biggest common factor number .

Step-1: Prime Factorization of 93364

Prime factors of 93364 are 2, 17, 1373. Prime factorization of 93364 in exponential form is:

93364 = 2² × 17¹ × 1373¹

Step-2: Prime Factorization of 93382

Prime factors of 93382 are 2, 46691. Prime factorization of 93382 in exponential form is:

93382 = 2¹ × 46691¹

Step-3: Factors of 93364

List of positive integer factors of 93364 that divides 93364 without a remainder.

1, 2, 4, 17, 34, 68, 1373, 2746, 5492, 23341, 46682

Step-4: Factors of 93382

List of positive integer factors of 93382 that divides 93364 without a remainder.

1, 2, 46691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93364 and 93382. The biggest common factor number is the GCF number.
So the greatest common factor 93364 and 93382 is 2.

Also check out the Least Common Multiple of 93364 and 93382