What is the Greatest Common Factor of 99000 and 99008?

Greatest common factor (GCF) of 99000 and 99008 is 8.

GCF(99000,99008) = 8

We will now calculate the prime factors of 99000 and 99008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99000 and 99008.

How to find the GCF of 99000 and 99008?

We will first find the prime factorization of 99000 and 99008. After we will calculate the factors of 99000 and 99008 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 99008

Prime factors of 99008 are 2, 7, 13, 17. Prime factorization of 99008 in exponential form is:

99008 = 2⁶ × 7¹ × 13¹ × 17¹

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 99008

List of positive integer factors of 99008 that divides 99000 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 32, 34, 52, 56, 64, 68, 91, 104, 112, 119, 136, 182, 208, 221, 224, 238, 272, 364, 416, 442, 448, 476, 544, 728, 832, 884, 952, 1088, 1456, 1547, 1768, 1904, 2912, 3094, 3536, 3808, 5824, 6188, 7072, 7616, 12376, 14144, 24752, 49504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99000 and 99008. The biggest common factor number is the GCF number.
So the greatest common factor 99000 and 99008 is 8.

Also check out the Least Common Multiple of 99000 and 99008