What is the Greatest Common Factor of 91088 and 91104?

Greatest common factor (GCF) of 91088 and 91104 is 16.

GCF(91088,91104) = 16

We will now calculate the prime factors of 91088 and 91104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91088 and 91104.

How to find the GCF of 91088 and 91104?

We will first find the prime factorization of 91088 and 91104. After we will calculate the factors of 91088 and 91104 and find the biggest common factor number .

Step-1: Prime Factorization of 91088

Prime factors of 91088 are 2, 5693. Prime factorization of 91088 in exponential form is:

91088 = 2⁴ × 5693¹

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 91088

List of positive integer factors of 91088 that divides 91088 without a remainder.

1, 2, 4, 8, 16, 5693, 11386, 22772, 45544

Step-4: Factors of 91104

List of positive integer factors of 91104 that divides 91088 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 91088 and 91104. The biggest common factor number is the GCF number.
So the greatest common factor 91088 and 91104 is 16.

Also check out the Least Common Multiple of 91088 and 91104