What is the Greatest Common Factor of 94350 and 94368?

Greatest common factor (GCF) of 94350 and 94368 is 6.

GCF(94350,94368) = 6

We will now calculate the prime factors of 94350 and 94368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94350 and 94368.

How to find the GCF of 94350 and 94368?

We will first find the prime factorization of 94350 and 94368. After we will calculate the factors of 94350 and 94368 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 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 2⁵ × 3¹ × 983¹

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 94368

List of positive integer factors of 94368 that divides 94350 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 983, 1966, 2949, 3932, 5898, 7864, 11796, 15728, 23592, 31456, 47184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94350 and 94368. The biggest common factor number is the GCF number.
So the greatest common factor 94350 and 94368 is 6.

Also check out the Least Common Multiple of 94350 and 94368