What is the Greatest Common Factor of 48000 and 48004?

Greatest common factor (GCF) of 48000 and 48004 is 4.

GCF(48000,48004) = 4

We will now calculate the prime factors of 48000 and 48004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48000 and 48004.

How to find the GCF of 48000 and 48004?

We will first find the prime factorization of 48000 and 48004. After we will calculate the factors of 48000 and 48004 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 48004

Prime factors of 48004 are 2, 11, 1091. Prime factorization of 48004 in exponential form is:

48004 = 2² × 11¹ × 1091¹

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 48004

List of positive integer factors of 48004 that divides 48000 without a remainder.

1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001, 24002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48000 and 48004. The biggest common factor number is the GCF number.
So the greatest common factor 48000 and 48004 is 4.

Also check out the Least Common Multiple of 48000 and 48004