What is the Greatest Common Factor of 91104 and 91116?

Greatest common factor (GCF) of 91104 and 91116 is 12.

GCF(91104,91116) = 12

We will now calculate the prime factors of 91104 and 91116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91104 and 91116.

How to find the GCF of 91104 and 91116?

We will first find the prime factorization of 91104 and 91116. After we will calculate the factors of 91104 and 91116 and find the biggest common factor number .

Step-1: Prime Factorization of 91104

Prime factors of 91104 are 2, 3, 13, 73. Prime factorization of 91104 in exponential form is:

91104 = 2⁵ × 3¹ × 13¹ × 73¹

Step-2: Prime Factorization of 91116

Prime factors of 91116 are 2, 3, 2531. Prime factorization of 91116 in exponential form is:

91116 = 2² × 3² × 2531¹

Step-3: Factors of 91104

List of positive integer factors of 91104 that divides 91104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 73, 78, 96, 104, 146, 156, 208, 219, 292, 312, 416, 438, 584, 624, 876, 949, 1168, 1248, 1752, 1898, 2336, 2847, 3504, 3796, 5694, 7008, 7592, 11388, 15184, 22776, 30368, 45552

Step-4: Factors of 91116

List of positive integer factors of 91116 that divides 91104 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2531, 5062, 7593, 10124, 15186, 22779, 30372, 45558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91104 and 91116. The biggest common factor number is the GCF number.
So the greatest common factor 91104 and 91116 is 12.

Also check out the Least Common Multiple of 91104 and 91116