What is the Greatest Common Factor of 93240 and 93254?

Greatest common factor (GCF) of 93240 and 93254 is 14.

GCF(93240,93254) = 14

We will now calculate the prime factors of 93240 and 93254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93240 and 93254.

How to find the GCF of 93240 and 93254?

We will first find the prime factorization of 93240 and 93254. After we will calculate the factors of 93240 and 93254 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 93254

Prime factors of 93254 are 2, 7, 6661. Prime factorization of 93254 in exponential form is:

93254 = 2¹ × 7¹ × 6661¹

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 93254

List of positive integer factors of 93254 that divides 93240 without a remainder.

1, 2, 7, 14, 6661, 13322, 46627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93240 and 93254. The biggest common factor number is the GCF number.
So the greatest common factor 93240 and 93254 is 14.

Also check out the Least Common Multiple of 93240 and 93254