What is the Greatest Common Factor of 91314 and 91323?

Greatest common factor (GCF) of 91314 and 91323 is 9.

GCF(91314,91323) = 9

We will now calculate the prime factors of 91314 and 91323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91314 and 91323.

How to find the GCF of 91314 and 91323?

We will first find the prime factorization of 91314 and 91323. After we will calculate the factors of 91314 and 91323 and find the biggest common factor number .

Step-1: Prime Factorization of 91314

Prime factors of 91314 are 2, 3, 19, 89. Prime factorization of 91314 in exponential form is:

91314 = 2¹ × 3³ × 19¹ × 89¹

Step-2: 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-3: Factors of 91314

List of positive integer factors of 91314 that divides 91314 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 89, 114, 171, 178, 267, 342, 513, 534, 801, 1026, 1602, 1691, 2403, 3382, 4806, 5073, 10146, 15219, 30438, 45657

Step-4: Factors of 91323

List of positive integer factors of 91323 that divides 91314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91314 and 91323. The biggest common factor number is the GCF number.
So the greatest common factor 91314 and 91323 is 9.

Also check out the Least Common Multiple of 91314 and 91323