What is the Greatest Common Factor of 92016 and 92025?

Greatest common factor (GCF) of 92016 and 92025 is 9.

GCF(92016,92025) = 9

We will now calculate the prime factors of 92016 and 92025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92016 and 92025.

How to find the GCF of 92016 and 92025?

We will first find the prime factorization of 92016 and 92025. After we will calculate the factors of 92016 and 92025 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 92025

Prime factors of 92025 are 3, 5, 409. Prime factorization of 92025 in exponential form is:

92025 = 3² × 5² × 409¹

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 92025

List of positive integer factors of 92025 that divides 92016 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 409, 1227, 2045, 3681, 6135, 10225, 18405, 30675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92016 and 92025. The biggest common factor number is the GCF number.
So the greatest common factor 92016 and 92025 is 9.

Also check out the Least Common Multiple of 92016 and 92025