What is the Greatest Common Factor of 99000 and 99010?

Greatest common factor (GCF) of 99000 and 99010 is 10.

GCF(99000,99010) = 10

We will now calculate the prime factors of 99000 and 99010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99000 and 99010.

How to find the GCF of 99000 and 99010?

We will first find the prime factorization of 99000 and 99010. After we will calculate the factors of 99000 and 99010 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 99010

Prime factors of 99010 are 2, 5, 9901. Prime factorization of 99010 in exponential form is:

99010 = 2¹ × 5¹ × 9901¹

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 99010

List of positive integer factors of 99010 that divides 99000 without a remainder.

1, 2, 5, 10, 9901, 19802, 49505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99000 and 99010. The biggest common factor number is the GCF number.
So the greatest common factor 99000 and 99010 is 10.

Also check out the Least Common Multiple of 99000 and 99010