What is the Greatest Common Factor of 48000 and 48006?

Greatest common factor (GCF) of 48000 and 48006 is 6.

GCF(48000,48006) = 6

We will now calculate the prime factors of 48000 and 48006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48000 and 48006.

How to find the GCF of 48000 and 48006?

We will first find the prime factorization of 48000 and 48006. After we will calculate the factors of 48000 and 48006 and find the biggest common factor number .

Step-1: Prime Factorization of 48000

Prime factors of 48000 are 2, 3, 5. Prime factorization of 48000 in exponential form is:

48000 = 2⁷ × 3¹ × 5³

Step-2: Prime Factorization of 48006

Prime factors of 48006 are 2, 3, 7, 127. Prime factorization of 48006 in exponential form is:

48006 = 2¹ × 3³ × 7¹ × 127¹

Step-3: Factors of 48000

List of positive integer factors of 48000 that divides 48000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 125, 128, 150, 160, 192, 200, 240, 250, 300, 320, 375, 384, 400, 480, 500, 600, 640, 750, 800, 960, 1000, 1200, 1500, 1600, 1920, 2000, 2400, 3000, 3200, 4000, 4800, 6000, 8000, 9600, 12000, 16000, 24000

Step-4: Factors of 48006

List of positive integer factors of 48006 that divides 48000 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 127, 189, 254, 378, 381, 762, 889, 1143, 1778, 2286, 2667, 3429, 5334, 6858, 8001, 16002, 24003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48000 and 48006. The biggest common factor number is the GCF number.
So the greatest common factor 48000 and 48006 is 6.

Also check out the Least Common Multiple of 48000 and 48006