What is the Greatest Common Factor of 91308 and 91322?

Greatest common factor (GCF) of 91308 and 91322 is 14.

GCF(91308,91322) = 14

We will now calculate the prime factors of 91308 and 91322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91308 and 91322.

How to find the GCF of 91308 and 91322?

We will first find the prime factorization of 91308 and 91322. After we will calculate the factors of 91308 and 91322 and find the biggest common factor number .

Step-1: Prime Factorization of 91308

Prime factors of 91308 are 2, 3, 7, 1087. Prime factorization of 91308 in exponential form is:

91308 = 2² × 3¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 91322

Prime factors of 91322 are 2, 7, 11, 593. Prime factorization of 91322 in exponential form is:

91322 = 2¹ × 7¹ × 11¹ × 593¹

Step-3: Factors of 91308

List of positive integer factors of 91308 that divides 91308 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1087, 2174, 3261, 4348, 6522, 7609, 13044, 15218, 22827, 30436, 45654

Step-4: Factors of 91322

List of positive integer factors of 91322 that divides 91308 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 593, 1186, 4151, 6523, 8302, 13046, 45661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91308 and 91322. The biggest common factor number is the GCF number.
So the greatest common factor 91308 and 91322 is 14.

Also check out the Least Common Multiple of 91308 and 91322