What is the Greatest Common Factor of 94500 and 94514?

Greatest common factor (GCF) of 94500 and 94514 is 14.

GCF(94500,94514) = 14

We will now calculate the prime factors of 94500 and 94514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94500 and 94514.

How to find the GCF of 94500 and 94514?

We will first find the prime factorization of 94500 and 94514. After we will calculate the factors of 94500 and 94514 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 94514

Prime factors of 94514 are 2, 7, 43, 157. Prime factorization of 94514 in exponential form is:

94514 = 2¹ × 7¹ × 43¹ × 157¹

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 94514

List of positive integer factors of 94514 that divides 94500 without a remainder.

1, 2, 7, 14, 43, 86, 157, 301, 314, 602, 1099, 2198, 6751, 13502, 47257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94500 and 94514. The biggest common factor number is the GCF number.
So the greatest common factor 94500 and 94514 is 14.

Also check out the Least Common Multiple of 94500 and 94514