What is the Greatest Common Factor of 91374 and 91389?

Greatest common factor (GCF) of 91374 and 91389 is 3.

GCF(91374,91389) = 3

We will now calculate the prime factors of 91374 and 91389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91374 and 91389.

How to find the GCF of 91374 and 91389?

We will first find the prime factorization of 91374 and 91389. After we will calculate the factors of 91374 and 91389 and find the biggest common factor number .

Step-1: Prime Factorization of 91374

Prime factors of 91374 are 2, 3, 97, 157. Prime factorization of 91374 in exponential form is:

91374 = 2¹ × 3¹ × 97¹ × 157¹

Step-2: Prime Factorization of 91389

Prime factors of 91389 are 3, 41, 743. Prime factorization of 91389 in exponential form is:

91389 = 3¹ × 41¹ × 743¹

Step-3: Factors of 91374

List of positive integer factors of 91374 that divides 91374 without a remainder.

1, 2, 3, 6, 97, 157, 194, 291, 314, 471, 582, 942, 15229, 30458, 45687

Step-4: Factors of 91389

List of positive integer factors of 91389 that divides 91374 without a remainder.

1, 3, 41, 123, 743, 2229, 30463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91374 and 91389. The biggest common factor number is the GCF number.
So the greatest common factor 91374 and 91389 is 3.

Also check out the Least Common Multiple of 91374 and 91389