What is the Greatest Common Factor of 94500 and 94515?

Greatest common factor (GCF) of 94500 and 94515 is 15.

GCF(94500,94515) = 15

We will now calculate the prime factors of 94500 and 94515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94500 and 94515.

How to find the GCF of 94500 and 94515?

We will first find the prime factorization of 94500 and 94515. After we will calculate the factors of 94500 and 94515 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94515

Prime factors of 94515 are 3, 5, 6301. Prime factorization of 94515 in exponential form is:

94515 = 3¹ × 5¹ × 6301¹

Step-3: Factors of 94500

List of positive integer factors of 94500 that divides 94500 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

Step-4: Factors of 94515

List of positive integer factors of 94515 that divides 94500 without a remainder.

1, 3, 5, 15, 6301, 18903, 31505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94500 and 94515. The biggest common factor number is the GCF number.
So the greatest common factor 94500 and 94515 is 15.

Also check out the Least Common Multiple of 94500 and 94515