What is the Greatest Common Factor of 94350 and 94358?

Greatest common factor (GCF) of 94350 and 94358 is 2.

GCF(94350,94358) = 2

We will now calculate the prime factors of 94350 and 94358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94350 and 94358.

How to find the GCF of 94350 and 94358?

We will first find the prime factorization of 94350 and 94358. After we will calculate the factors of 94350 and 94358 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 94358

Prime factors of 94358 are 2, 11, 4289. Prime factorization of 94358 in exponential form is:

94358 = 2¹ × 11¹ × 4289¹

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 94358

List of positive integer factors of 94358 that divides 94350 without a remainder.

1, 2, 11, 22, 4289, 8578, 47179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94350 and 94358. The biggest common factor number is the GCF number.
So the greatest common factor 94350 and 94358 is 2.

Also check out the Least Common Multiple of 94350 and 94358