What is the Greatest Common Factor of 91149 and 91164?

Greatest common factor (GCF) of 91149 and 91164 is 3.

GCF(91149,91164) = 3

We will now calculate the prime factors of 91149 and 91164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91149 and 91164.

How to find the GCF of 91149 and 91164?

We will first find the prime factorization of 91149 and 91164. After we will calculate the factors of 91149 and 91164 and find the biggest common factor number .

Step-1: Prime Factorization of 91149

Prime factors of 91149 are 3, 23, 1321. Prime factorization of 91149 in exponential form is:

91149 = 3¹ × 23¹ × 1321¹

Step-2: Prime Factorization of 91164

Prime factors of 91164 are 2, 3, 71, 107. Prime factorization of 91164 in exponential form is:

91164 = 2² × 3¹ × 71¹ × 107¹

Step-3: Factors of 91149

List of positive integer factors of 91149 that divides 91149 without a remainder.

1, 3, 23, 69, 1321, 3963, 30383

Step-4: Factors of 91164

List of positive integer factors of 91164 that divides 91149 without a remainder.

1, 2, 3, 4, 6, 12, 71, 107, 142, 213, 214, 284, 321, 426, 428, 642, 852, 1284, 7597, 15194, 22791, 30388, 45582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91149 and 91164. The biggest common factor number is the GCF number.
So the greatest common factor 91149 and 91164 is 3.

Also check out the Least Common Multiple of 91149 and 91164