What is the Greatest Common Factor of 93225 and 93240?

Greatest common factor (GCF) of 93225 and 93240 is 15.

GCF(93225,93240) = 15

We will now calculate the prime factors of 93225 and 93240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93225 and 93240.

How to find the GCF of 93225 and 93240?

We will first find the prime factorization of 93225 and 93240. After we will calculate the factors of 93225 and 93240 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 93240

Prime factors of 93240 are 2, 3, 5, 7, 37. Prime factorization of 93240 in exponential form is:

93240 = 2³ × 3² × 5¹ × 7¹ × 37¹

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 93240

List of positive integer factors of 93240 that divides 93225 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 37, 40, 42, 45, 56, 60, 63, 70, 72, 74, 84, 90, 105, 111, 120, 126, 140, 148, 168, 180, 185, 210, 222, 252, 259, 280, 296, 315, 333, 360, 370, 420, 444, 504, 518, 555, 630, 666, 740, 777, 840, 888, 1036, 1110, 1260, 1295, 1332, 1480, 1554, 1665, 2072, 2220, 2331, 2520, 2590, 2664, 3108, 3330, 3885, 4440, 4662, 5180, 6216, 6660, 7770, 9324, 10360, 11655, 13320, 15540, 18648, 23310, 31080, 46620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93225 and 93240. The biggest common factor number is the GCF number.
So the greatest common factor 93225 and 93240 is 15.

Also check out the Least Common Multiple of 93225 and 93240