What is the Greatest Common Factor of 98982 and 99000?

Greatest common factor (GCF) of 98982 and 99000 is 18.

GCF(98982,99000) = 18

We will now calculate the prime factors of 98982 and 99000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98982 and 99000.

How to find the GCF of 98982 and 99000?

We will first find the prime factorization of 98982 and 99000. After we will calculate the factors of 98982 and 99000 and find the biggest common factor number .

Step-1: Prime Factorization of 98982

Prime factors of 98982 are 2, 3, 13, 47. Prime factorization of 98982 in exponential form is:

98982 = 2¹ × 3⁴ × 13¹ × 47¹

Step-2: 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-3: Factors of 98982

List of positive integer factors of 98982 that divides 98982 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 81, 94, 117, 141, 162, 234, 282, 351, 423, 611, 702, 846, 1053, 1222, 1269, 1833, 2106, 2538, 3666, 3807, 5499, 7614, 10998, 16497, 32994, 49491

Step-4: Factors of 99000

List of positive integer factors of 99000 that divides 98982 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98982 and 99000. The biggest common factor number is the GCF number.
So the greatest common factor 98982 and 99000 is 18.

Also check out the Least Common Multiple of 98982 and 99000