What is the Greatest Common Factor of 98988 and 99000?

Greatest common factor (GCF) of 98988 and 99000 is 12.

GCF(98988,99000) = 12

We will now calculate the prime factors of 98988 and 99000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98988 and 99000.

How to find the GCF of 98988 and 99000?

We will first find the prime factorization of 98988 and 99000. After we will calculate the factors of 98988 and 99000 and find the biggest common factor number .

Step-1: Prime Factorization of 98988

Prime factors of 98988 are 2, 3, 73, 113. Prime factorization of 98988 in exponential form is:

98988 = 2² × 3¹ × 73¹ × 113¹

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 98988

List of positive integer factors of 98988 that divides 98988 without a remainder.

1, 2, 3, 4, 6, 12, 73, 113, 146, 219, 226, 292, 339, 438, 452, 678, 876, 1356, 8249, 16498, 24747, 32996, 49494

Step-4: Factors of 99000

List of positive integer factors of 99000 that divides 98988 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 98988 and 99000. The biggest common factor number is the GCF number.
So the greatest common factor 98988 and 99000 is 12.

Also check out the Least Common Multiple of 98988 and 99000