What is the Greatest Common Factor of 94288 and 94300?

Greatest common factor (GCF) of 94288 and 94300 is 4.

GCF(94288,94300) = 4

We will now calculate the prime factors of 94288 and 94300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94288 and 94300.

How to find the GCF of 94288 and 94300?

We will first find the prime factorization of 94288 and 94300. After we will calculate the factors of 94288 and 94300 and find the biggest common factor number .

Step-1: Prime Factorization of 94288

Prime factors of 94288 are 2, 71, 83. Prime factorization of 94288 in exponential form is:

94288 = 2⁴ × 71¹ × 83¹

Step-2: Prime Factorization of 94300

Prime factors of 94300 are 2, 5, 23, 41. Prime factorization of 94300 in exponential form is:

94300 = 2² × 5² × 23¹ × 41¹

Step-3: Factors of 94288

List of positive integer factors of 94288 that divides 94288 without a remainder.

1, 2, 4, 8, 16, 71, 83, 142, 166, 284, 332, 568, 664, 1136, 1328, 5893, 11786, 23572, 47144

Step-4: Factors of 94300

List of positive integer factors of 94300 that divides 94288 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 41, 46, 50, 82, 92, 100, 115, 164, 205, 230, 410, 460, 575, 820, 943, 1025, 1150, 1886, 2050, 2300, 3772, 4100, 4715, 9430, 18860, 23575, 47150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94288 and 94300. The biggest common factor number is the GCF number.
So the greatest common factor 94288 and 94300 is 4.

Also check out the Least Common Multiple of 94288 and 94300