What is the Greatest Common Factor of 94485 and 94500?

Greatest common factor (GCF) of 94485 and 94500 is 15.

GCF(94485,94500) = 15

We will now calculate the prime factors of 94485 and 94500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94485 and 94500.

How to find the GCF of 94485 and 94500?

We will first find the prime factorization of 94485 and 94500. After we will calculate the factors of 94485 and 94500 and find the biggest common factor number .

Step-1: Prime Factorization of 94485

Prime factors of 94485 are 3, 5, 6299. Prime factorization of 94485 in exponential form is:

94485 = 3¹ × 5¹ × 6299¹

Step-2: Prime Factorization of 94500

Prime factors of 94500 are 2, 3, 5, 7. Prime factorization of 94500 in exponential form is:

94500 = 2² × 3³ × 5³ × 7¹

Step-3: Factors of 94485

List of positive integer factors of 94485 that divides 94485 without a remainder.

1, 3, 5, 15, 6299, 18897, 31495

Step-4: Factors of 94500

List of positive integer factors of 94500 that divides 94485 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 27, 28, 30, 35, 36, 42, 45, 50, 54, 60, 63, 70, 75, 84, 90, 100, 105, 108, 125, 126, 135, 140, 150, 175, 180, 189, 210, 225, 250, 252, 270, 300, 315, 350, 375, 378, 420, 450, 500, 525, 540, 630, 675, 700, 750, 756, 875, 900, 945, 1050, 1125, 1260, 1350, 1500, 1575, 1750, 1890, 2100, 2250, 2625, 2700, 3150, 3375, 3500, 3780, 4500, 4725, 5250, 6300, 6750, 7875, 9450, 10500, 13500, 15750, 18900, 23625, 31500, 47250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94485 and 94500. The biggest common factor number is the GCF number.
So the greatest common factor 94485 and 94500 is 15.

Also check out the Least Common Multiple of 94485 and 94500