What is the Greatest Common Factor of 99000 and 99004?

Greatest common factor (GCF) of 99000 and 99004 is 4.

GCF(99000,99004) = 4

We will now calculate the prime factors of 99000 and 99004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99000 and 99004.

How to find the GCF of 99000 and 99004?

We will first find the prime factorization of 99000 and 99004. After we will calculate the factors of 99000 and 99004 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 99004

Prime factors of 99004 are 2, 53, 467. Prime factorization of 99004 in exponential form is:

99004 = 2² × 53¹ × 467¹

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 99004

List of positive integer factors of 99004 that divides 99000 without a remainder.

1, 2, 4, 53, 106, 212, 467, 934, 1868, 24751, 49502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99000 and 99004. The biggest common factor number is the GCF number.
So the greatest common factor 99000 and 99004 is 4.

Also check out the Least Common Multiple of 99000 and 99004