What is the Greatest Common Factor of 99000 and 99012?

Greatest common factor (GCF) of 99000 and 99012 is 12.

GCF(99000,99012) = 12

We will now calculate the prime factors of 99000 and 99012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99000 and 99012.

How to find the GCF of 99000 and 99012?

We will first find the prime factorization of 99000 and 99012. After we will calculate the factors of 99000 and 99012 and find the biggest common factor number .

Step-1: Prime Factorization of 99000

Prime factors of 99000 are 2, 3, 5, 11. Prime factorization of 99000 in exponential form is:

99000 = 2³ × 3² × 5³ × 11¹

Step-2: Prime Factorization of 99012

Prime factors of 99012 are 2, 3, 37, 223. Prime factorization of 99012 in exponential form is:

99012 = 2² × 3¹ × 37¹ × 223¹

Step-3: Factors of 99000

List of positive integer factors of 99000 that divides 99000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 25, 30, 33, 36, 40, 44, 45, 50, 55, 60, 66, 72, 75, 88, 90, 99, 100, 110, 120, 125, 132, 150, 165, 180, 198, 200, 220, 225, 250, 264, 275, 300, 330, 360, 375, 396, 440, 450, 495, 500, 550, 600, 660, 750, 792, 825, 900, 990, 1000, 1100, 1125, 1320, 1375, 1500, 1650, 1800, 1980, 2200, 2250, 2475, 2750, 3000, 3300, 3960, 4125, 4500, 4950, 5500, 6600, 8250, 9000, 9900, 11000, 12375, 16500, 19800, 24750, 33000, 49500

Step-4: Factors of 99012

List of positive integer factors of 99012 that divides 99000 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 223, 444, 446, 669, 892, 1338, 2676, 8251, 16502, 24753, 33004, 49506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99000 and 99012. The biggest common factor number is the GCF number.
So the greatest common factor 99000 and 99012 is 12.

Also check out the Least Common Multiple of 99000 and 99012