What is the Greatest Common Factor of 91323 and 91338?

Greatest common factor (GCF) of 91323 and 91338 is 3.

GCF(91323,91338) = 3

We will now calculate the prime factors of 91323 and 91338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91323 and 91338.

How to find the GCF of 91323 and 91338?

We will first find the prime factorization of 91323 and 91338. After we will calculate the factors of 91323 and 91338 and find the biggest common factor number .

Step-1: Prime Factorization of 91323

Prime factors of 91323 are 3, 73, 139. Prime factorization of 91323 in exponential form is:

91323 = 3² × 73¹ × 139¹

Step-2: Prime Factorization of 91338

Prime factors of 91338 are 2, 3, 13, 1171. Prime factorization of 91338 in exponential form is:

91338 = 2¹ × 3¹ × 13¹ × 1171¹

Step-3: Factors of 91323

List of positive integer factors of 91323 that divides 91323 without a remainder.

1, 3, 9, 73, 139, 219, 417, 657, 1251, 10147, 30441

Step-4: Factors of 91338

List of positive integer factors of 91338 that divides 91323 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1171, 2342, 3513, 7026, 15223, 30446, 45669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91323 and 91338. The biggest common factor number is the GCF number.
So the greatest common factor 91323 and 91338 is 3.

Also check out the Least Common Multiple of 91323 and 91338