What is the Greatest Common Factor of 94300 and 94305?

Greatest common factor (GCF) of 94300 and 94305 is 5.

GCF(94300,94305) = 5

We will now calculate the prime factors of 94300 and 94305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94300 and 94305.

How to find the GCF of 94300 and 94305?

We will first find the prime factorization of 94300 and 94305. After we will calculate the factors of 94300 and 94305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94305

Prime factors of 94305 are 3, 5, 6287. Prime factorization of 94305 in exponential form is:

94305 = 3¹ × 5¹ × 6287¹

Step-3: Factors of 94300

List of positive integer factors of 94300 that divides 94300 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

Step-4: Factors of 94305

List of positive integer factors of 94305 that divides 94300 without a remainder.

1, 3, 5, 15, 6287, 18861, 31435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94300 and 94305. The biggest common factor number is the GCF number.
So the greatest common factor 94300 and 94305 is 5.

Also check out the Least Common Multiple of 94300 and 94305