What is the Greatest Common Factor of 91299 and 91308?

Greatest common factor (GCF) of 91299 and 91308 is 3.

GCF(91299,91308) = 3

We will now calculate the prime factors of 91299 and 91308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91299 and 91308.

How to find the GCF of 91299 and 91308?

We will first find the prime factorization of 91299 and 91308. After we will calculate the factors of 91299 and 91308 and find the biggest common factor number .

Step-1: Prime Factorization of 91299

Prime factors of 91299 are 3, 13, 2341. Prime factorization of 91299 in exponential form is:

91299 = 3¹ × 13¹ × 2341¹

Step-2: 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-3: Factors of 91299

List of positive integer factors of 91299 that divides 91299 without a remainder.

1, 3, 13, 39, 2341, 7023, 30433

Step-4: Factors of 91308

List of positive integer factors of 91308 that divides 91299 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91299 and 91308. The biggest common factor number is the GCF number.
So the greatest common factor 91299 and 91308 is 3.

Also check out the Least Common Multiple of 91299 and 91308