What is the Greatest Common Factor of 91096 and 91104?

Greatest common factor (GCF) of 91096 and 91104 is 8.

GCF(91096,91104) = 8

We will now calculate the prime factors of 91096 and 91104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91096 and 91104.

How to find the GCF of 91096 and 91104?

We will first find the prime factorization of 91096 and 91104. After we will calculate the factors of 91096 and 91104 and find the biggest common factor number .

Step-1: Prime Factorization of 91096

Prime factors of 91096 are 2, 59, 193. Prime factorization of 91096 in exponential form is:

91096 = 2³ × 59¹ × 193¹

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 91096

List of positive integer factors of 91096 that divides 91096 without a remainder.

1, 2, 4, 8, 59, 118, 193, 236, 386, 472, 772, 1544, 11387, 22774, 45548

Step-4: Factors of 91104

List of positive integer factors of 91104 that divides 91096 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 91096 and 91104. The biggest common factor number is the GCF number.
So the greatest common factor 91096 and 91104 is 8.

Also check out the Least Common Multiple of 91096 and 91104