What is the Greatest Common Factor of 93219 and 93225?

Greatest common factor (GCF) of 93219 and 93225 is 3.

GCF(93219,93225) = 3

We will now calculate the prime factors of 93219 and 93225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93219 and 93225.

How to find the GCF of 93219 and 93225?

We will first find the prime factorization of 93219 and 93225. After we will calculate the factors of 93219 and 93225 and find the biggest common factor number .

Step-1: Prime Factorization of 93219

Prime factors of 93219 are 3, 7, 23, 193. Prime factorization of 93219 in exponential form is:

93219 = 3¹ × 7¹ × 23¹ × 193¹

Step-2: Prime Factorization of 93225

Prime factors of 93225 are 3, 5, 11, 113. Prime factorization of 93225 in exponential form is:

93225 = 3¹ × 5² × 11¹ × 113¹

Step-3: Factors of 93219

List of positive integer factors of 93219 that divides 93219 without a remainder.

1, 3, 7, 21, 23, 69, 161, 193, 483, 579, 1351, 4053, 4439, 13317, 31073

Step-4: Factors of 93225

List of positive integer factors of 93225 that divides 93219 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 113, 165, 275, 339, 565, 825, 1243, 1695, 2825, 3729, 6215, 8475, 18645, 31075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93219 and 93225. The biggest common factor number is the GCF number.
So the greatest common factor 93219 and 93225 is 3.

Also check out the Least Common Multiple of 93219 and 93225