What is the Greatest Common Factor of 91998 and 92016?

Greatest common factor (GCF) of 91998 and 92016 is 18.

GCF(91998,92016) = 18

We will now calculate the prime factors of 91998 and 92016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91998 and 92016.

How to find the GCF of 91998 and 92016?

We will first find the prime factorization of 91998 and 92016. After we will calculate the factors of 91998 and 92016 and find the biggest common factor number .

Step-1: Prime Factorization of 91998

Prime factors of 91998 are 2, 3, 19, 269. Prime factorization of 91998 in exponential form is:

91998 = 2¹ × 3² × 19¹ × 269¹

Step-2: Prime Factorization of 92016

Prime factors of 92016 are 2, 3, 71. Prime factorization of 92016 in exponential form is:

92016 = 2⁴ × 3⁴ × 71¹

Step-3: Factors of 91998

List of positive integer factors of 91998 that divides 91998 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 269, 342, 538, 807, 1614, 2421, 4842, 5111, 10222, 15333, 30666, 45999

Step-4: Factors of 92016

List of positive integer factors of 92016 that divides 91998 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 71, 72, 81, 108, 142, 144, 162, 213, 216, 284, 324, 426, 432, 568, 639, 648, 852, 1136, 1278, 1296, 1704, 1917, 2556, 3408, 3834, 5112, 5751, 7668, 10224, 11502, 15336, 23004, 30672, 46008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91998 and 92016. The biggest common factor number is the GCF number.
So the greatest common factor 91998 and 92016 is 18.

Also check out the Least Common Multiple of 91998 and 92016