What is the Greatest Common Factor of 94344 and 94350?

Greatest common factor (GCF) of 94344 and 94350 is 6.

GCF(94344,94350) = 6

We will now calculate the prime factors of 94344 and 94350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94344 and 94350.

How to find the GCF of 94344 and 94350?

We will first find the prime factorization of 94344 and 94350. After we will calculate the factors of 94344 and 94350 and find the biggest common factor number .

Step-1: Prime Factorization of 94344

Prime factors of 94344 are 2, 3, 3931. Prime factorization of 94344 in exponential form is:

94344 = 2³ × 3¹ × 3931¹

Step-2: 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-3: Factors of 94344

List of positive integer factors of 94344 that divides 94344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3931, 7862, 11793, 15724, 23586, 31448, 47172

Step-4: Factors of 94350

List of positive integer factors of 94350 that divides 94344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94344 and 94350. The biggest common factor number is the GCF number.
So the greatest common factor 94344 and 94350 is 6.

Also check out the Least Common Multiple of 94344 and 94350