What is the Greatest Common Factor of 94300 and 94315?

Greatest common factor (GCF) of 94300 and 94315 is 5.

GCF(94300,94315) = 5

We will now calculate the prime factors of 94300 and 94315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94300 and 94315.

How to find the GCF of 94300 and 94315?

We will first find the prime factorization of 94300 and 94315. After we will calculate the factors of 94300 and 94315 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 94315

Prime factors of 94315 are 5, 13, 1451. Prime factorization of 94315 in exponential form is:

94315 = 5¹ × 13¹ × 1451¹

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 94315

List of positive integer factors of 94315 that divides 94300 without a remainder.

1, 5, 13, 65, 1451, 7255, 18863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94300 and 94315. The biggest common factor number is the GCF number.
So the greatest common factor 94300 and 94315 is 5.

Also check out the Least Common Multiple of 94300 and 94315