What is the Greatest Common Factor of 47983 and 48000?

Greatest common factor (GCF) of 47983 and 48000 is 1.

GCF(47983,48000) = 1

We will now calculate the prime factors of 47983 and 48000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47983 and 48000.

How to find the GCF of 47983 and 48000?

We will first find the prime factorization of 47983 and 48000. After we will calculate the factors of 47983 and 48000 and find the biggest common factor number .

Step-1: Prime Factorization of 47983

Prime factors of 47983 are 13, 3691. Prime factorization of 47983 in exponential form is:

47983 = 13¹ × 3691¹

Step-2: 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-3: Factors of 47983

List of positive integer factors of 47983 that divides 47983 without a remainder.

1, 13, 3691

Step-4: Factors of 48000

List of positive integer factors of 48000 that divides 47983 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47983 and 48000. The biggest common factor number is the GCF number.
So the greatest common factor 47983 and 48000 is 1.

Also check out the Least Common Multiple of 47983 and 48000