What is the Greatest Common Factor of 92475 and 92481?

Greatest common factor (GCF) of 92475 and 92481 is 3.

GCF(92475,92481) = 3

We will now calculate the prime factors of 92475 and 92481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92475 and 92481.

How to find the GCF of 92475 and 92481?

We will first find the prime factorization of 92475 and 92481. After we will calculate the factors of 92475 and 92481 and find the biggest common factor number .

Step-1: Prime Factorization of 92475

Prime factors of 92475 are 3, 5, 137. Prime factorization of 92475 in exponential form is:

92475 = 3³ × 5² × 137¹

Step-2: Prime Factorization of 92481

Prime factors of 92481 are 3, 29, 1063. Prime factorization of 92481 in exponential form is:

92481 = 3¹ × 29¹ × 1063¹

Step-3: Factors of 92475

List of positive integer factors of 92475 that divides 92475 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 137, 225, 411, 675, 685, 1233, 2055, 3425, 3699, 6165, 10275, 18495, 30825

Step-4: Factors of 92481

List of positive integer factors of 92481 that divides 92475 without a remainder.

1, 3, 29, 87, 1063, 3189, 30827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92475 and 92481. The biggest common factor number is the GCF number.
So the greatest common factor 92475 and 92481 is 3.

Also check out the Least Common Multiple of 92475 and 92481