What is the Greatest Common Factor of 93225 and 93245?

Greatest common factor (GCF) of 93225 and 93245 is 5.

GCF(93225,93245) = 5

We will now calculate the prime factors of 93225 and 93245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93225 and 93245.

How to find the GCF of 93225 and 93245?

We will first find the prime factorization of 93225 and 93245. After we will calculate the factors of 93225 and 93245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93245

Prime factors of 93245 are 5, 17, 1097. Prime factorization of 93245 in exponential form is:

93245 = 5¹ × 17¹ × 1097¹

Step-3: Factors of 93225

List of positive integer factors of 93225 that divides 93225 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

Step-4: Factors of 93245

List of positive integer factors of 93245 that divides 93225 without a remainder.

1, 5, 17, 85, 1097, 5485, 18649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93225 and 93245. The biggest common factor number is the GCF number.
So the greatest common factor 93225 and 93245 is 5.

Also check out the Least Common Multiple of 93225 and 93245