What is the Greatest Common Factor of 91092 and 91104?

Greatest common factor (GCF) of 91092 and 91104 is 12.

GCF(91092,91104) = 12

We will now calculate the prime factors of 91092 and 91104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91092 and 91104.

How to find the GCF of 91092 and 91104?

We will first find the prime factorization of 91092 and 91104. After we will calculate the factors of 91092 and 91104 and find the biggest common factor number .

Step-1: Prime Factorization of 91092

Prime factors of 91092 are 2, 3, 7591. Prime factorization of 91092 in exponential form is:

91092 = 2² × 3¹ × 7591¹

Step-2: 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-3: Factors of 91092

List of positive integer factors of 91092 that divides 91092 without a remainder.

1, 2, 3, 4, 6, 12, 7591, 15182, 22773, 30364, 45546

Step-4: Factors of 91104

List of positive integer factors of 91104 that divides 91092 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91092 and 91104. The biggest common factor number is the GCF number.
So the greatest common factor 91092 and 91104 is 12.

Also check out the Least Common Multiple of 91092 and 91104