What is the Greatest Common Factor of 94496 and 94500?

Greatest common factor (GCF) of 94496 and 94500 is 4.

GCF(94496,94500) = 4

We will now calculate the prime factors of 94496 and 94500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94496 and 94500.

How to find the GCF of 94496 and 94500?

We will first find the prime factorization of 94496 and 94500. After we will calculate the factors of 94496 and 94500 and find the biggest common factor number .

Step-1: Prime Factorization of 94496

Prime factors of 94496 are 2, 2953. Prime factorization of 94496 in exponential form is:

94496 = 2⁵ × 2953¹

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 94496

List of positive integer factors of 94496 that divides 94496 without a remainder.

1, 2, 4, 8, 16, 32, 2953, 5906, 11812, 23624, 47248

Step-4: Factors of 94500

List of positive integer factors of 94500 that divides 94496 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 94496 and 94500. The biggest common factor number is the GCF number.
So the greatest common factor 94496 and 94500 is 4.

Also check out the Least Common Multiple of 94496 and 94500