What is the Greatest Common Factor of 93316 and 93322?

Greatest common factor (GCF) of 93316 and 93322 is 2.

GCF(93316,93322) = 2

We will now calculate the prime factors of 93316 and 93322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93316 and 93322.

How to find the GCF of 93316 and 93322?

We will first find the prime factorization of 93316 and 93322. After we will calculate the factors of 93316 and 93322 and find the biggest common factor number .

Step-1: Prime Factorization of 93316

Prime factors of 93316 are 2, 41, 569. Prime factorization of 93316 in exponential form is:

93316 = 2² × 41¹ × 569¹

Step-2: Prime Factorization of 93322

Prime factors of 93322 are 2, 29, 1609. Prime factorization of 93322 in exponential form is:

93322 = 2¹ × 29¹ × 1609¹

Step-3: Factors of 93316

List of positive integer factors of 93316 that divides 93316 without a remainder.

1, 2, 4, 41, 82, 164, 569, 1138, 2276, 23329, 46658

Step-4: Factors of 93322

List of positive integer factors of 93322 that divides 93316 without a remainder.

1, 2, 29, 58, 1609, 3218, 46661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93316 and 93322. The biggest common factor number is the GCF number.
So the greatest common factor 93316 and 93322 is 2.

Also check out the Least Common Multiple of 93316 and 93322