What is the Greatest Common Factor of 93240 and 93249?

Greatest common factor (GCF) of 93240 and 93249 is 9.

GCF(93240,93249) = 9

We will now calculate the prime factors of 93240 and 93249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93240 and 93249.

How to find the GCF of 93240 and 93249?

We will first find the prime factorization of 93240 and 93249. After we will calculate the factors of 93240 and 93249 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93249

Prime factors of 93249 are 3, 13, 797. Prime factorization of 93249 in exponential form is:

93249 = 3² × 13¹ × 797¹

Step-3: Factors of 93240

List of positive integer factors of 93240 that divides 93240 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

Step-4: Factors of 93249

List of positive integer factors of 93249 that divides 93240 without a remainder.

1, 3, 9, 13, 39, 117, 797, 2391, 7173, 10361, 31083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93240 and 93249. The biggest common factor number is the GCF number.
So the greatest common factor 93240 and 93249 is 9.

Also check out the Least Common Multiple of 93240 and 93249