What is the Greatest Common Factor of 94350 and 94365?

Greatest common factor (GCF) of 94350 and 94365 is 15.

GCF(94350,94365) = 15

We will now calculate the prime factors of 94350 and 94365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94350 and 94365.

How to find the GCF of 94350 and 94365?

We will first find the prime factorization of 94350 and 94365. After we will calculate the factors of 94350 and 94365 and find the biggest common factor number .

Step-1: Prime Factorization of 94350

Prime factors of 94350 are 2, 3, 5, 17, 37. Prime factorization of 94350 in exponential form is:

94350 = 2¹ × 3¹ × 5² × 17¹ × 37¹

Step-2: Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 3⁴ × 5¹ × 233¹

Step-3: Factors of 94350

List of positive integer factors of 94350 that divides 94350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 37, 50, 51, 74, 75, 85, 102, 111, 150, 170, 185, 222, 255, 370, 425, 510, 555, 629, 850, 925, 1110, 1258, 1275, 1850, 1887, 2550, 2775, 3145, 3774, 5550, 6290, 9435, 15725, 18870, 31450, 47175

Step-4: Factors of 94365

List of positive integer factors of 94365 that divides 94350 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 233, 405, 699, 1165, 2097, 3495, 6291, 10485, 18873, 31455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94350 and 94365. The biggest common factor number is the GCF number.
So the greatest common factor 94350 and 94365 is 15.

Also check out the Least Common Multiple of 94350 and 94365