What is the Greatest Common Factor of 94500 and 94505?

Greatest common factor (GCF) of 94500 and 94505 is 5.

GCF(94500,94505) = 5

We will now calculate the prime factors of 94500 and 94505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94500 and 94505.

How to find the GCF of 94500 and 94505?

We will first find the prime factorization of 94500 and 94505. After we will calculate the factors of 94500 and 94505 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 94505

Prime factors of 94505 are 5, 41, 461. Prime factorization of 94505 in exponential form is:

94505 = 5¹ × 41¹ × 461¹

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 94505

List of positive integer factors of 94505 that divides 94500 without a remainder.

1, 5, 41, 205, 461, 2305, 18901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94500 and 94505. The biggest common factor number is the GCF number.
So the greatest common factor 94500 and 94505 is 5.

Also check out the Least Common Multiple of 94500 and 94505