What is the Greatest Common Factor of 94500 and 94510?

Greatest common factor (GCF) of 94500 and 94510 is 10.

GCF(94500,94510) = 10

We will now calculate the prime factors of 94500 and 94510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94500 and 94510.

How to find the GCF of 94500 and 94510?

We will first find the prime factorization of 94500 and 94510. After we will calculate the factors of 94500 and 94510 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 94510

Prime factors of 94510 are 2, 5, 13, 727. Prime factorization of 94510 in exponential form is:

94510 = 2¹ × 5¹ × 13¹ × 727¹

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 94510

List of positive integer factors of 94510 that divides 94500 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 727, 1454, 3635, 7270, 9451, 18902, 47255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94500 and 94510. The biggest common factor number is the GCF number.
So the greatest common factor 94500 and 94510 is 10.

Also check out the Least Common Multiple of 94500 and 94510