What is the Greatest Common Factor of 48000 and 48018?

Greatest common factor (GCF) of 48000 and 48018 is 6.

GCF(48000,48018) = 6

We will now calculate the prime factors of 48000 and 48018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48000 and 48018.

How to find the GCF of 48000 and 48018?

We will first find the prime factorization of 48000 and 48018. After we will calculate the factors of 48000 and 48018 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 48018

Prime factors of 48018 are 2, 3, 53, 151. Prime factorization of 48018 in exponential form is:

48018 = 2¹ × 3¹ × 53¹ × 151¹

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 48018

List of positive integer factors of 48018 that divides 48000 without a remainder.

1, 2, 3, 6, 53, 106, 151, 159, 302, 318, 453, 906, 8003, 16006, 24009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48000 and 48018. The biggest common factor number is the GCF number.
So the greatest common factor 48000 and 48018 is 6.

Also check out the Least Common Multiple of 48000 and 48018