What is the Greatest Common Factor of 96249 and 96255?

Greatest common factor (GCF) of 96249 and 96255 is 3.

GCF(96249,96255) = 3

We will now calculate the prime factors of 96249 and 96255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96249 and 96255.

How to find the GCF of 96249 and 96255?

We will first find the prime factorization of 96249 and 96255. After we will calculate the factors of 96249 and 96255 and find the biggest common factor number .

Step-1: Prime Factorization of 96249

Prime factors of 96249 are 3, 32083. Prime factorization of 96249 in exponential form is:

96249 = 3¹ × 32083¹

Step-2: Prime Factorization of 96255

Prime factors of 96255 are 3, 5, 23, 31. Prime factorization of 96255 in exponential form is:

96255 = 3³ × 5¹ × 23¹ × 31¹

Step-3: Factors of 96249

List of positive integer factors of 96249 that divides 96249 without a remainder.

1, 3, 32083

Step-4: Factors of 96255

List of positive integer factors of 96255 that divides 96249 without a remainder.

1, 3, 5, 9, 15, 23, 27, 31, 45, 69, 93, 115, 135, 155, 207, 279, 345, 465, 621, 713, 837, 1035, 1395, 2139, 3105, 3565, 4185, 6417, 10695, 19251, 32085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96249 and 96255. The biggest common factor number is the GCF number.
So the greatest common factor 96249 and 96255 is 3.

Also check out the Least Common Multiple of 96249 and 96255