What is the Greatest Common Factor of 91164 and 91184?

Greatest common factor (GCF) of 91164 and 91184 is 4.

GCF(91164,91184) = 4

We will now calculate the prime factors of 91164 and 91184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91164 and 91184.

How to find the GCF of 91164 and 91184?

We will first find the prime factorization of 91164 and 91184. After we will calculate the factors of 91164 and 91184 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91184

Prime factors of 91184 are 2, 41, 139. Prime factorization of 91184 in exponential form is:

91184 = 2⁴ × 41¹ × 139¹

Step-3: Factors of 91164

List of positive integer factors of 91164 that divides 91164 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

Step-4: Factors of 91184

List of positive integer factors of 91184 that divides 91164 without a remainder.

1, 2, 4, 8, 16, 41, 82, 139, 164, 278, 328, 556, 656, 1112, 2224, 5699, 11398, 22796, 45592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91164 and 91184. The biggest common factor number is the GCF number.
So the greatest common factor 91164 and 91184 is 4.

Also check out the Least Common Multiple of 91164 and 91184