What is the Greatest Common Factor of 92016 and 92028?

Greatest common factor (GCF) of 92016 and 92028 is 12.

GCF(92016,92028) = 12

We will now calculate the prime factors of 92016 and 92028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92016 and 92028.

How to find the GCF of 92016 and 92028?

We will first find the prime factorization of 92016 and 92028. After we will calculate the factors of 92016 and 92028 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92028

Prime factors of 92028 are 2, 3, 7669. Prime factorization of 92028 in exponential form is:

92028 = 2² × 3¹ × 7669¹

Step-3: Factors of 92016

List of positive integer factors of 92016 that divides 92016 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

Step-4: Factors of 92028

List of positive integer factors of 92028 that divides 92016 without a remainder.

1, 2, 3, 4, 6, 12, 7669, 15338, 23007, 30676, 46014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92016 and 92028. The biggest common factor number is the GCF number.
So the greatest common factor 92016 and 92028 is 12.

Also check out the Least Common Multiple of 92016 and 92028