What is the Greatest Common Factor of 4800 and 4812?

Greatest common factor (GCF) of 4800 and 4812 is 12.

GCF(4800,4812) = 12

We will now calculate the prime factors of 4800 and 4812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4800 and 4812.

How to find the GCF of 4800 and 4812?

We will first find the prime factorization of 4800 and 4812. After we will calculate the factors of 4800 and 4812 and find the biggest common factor number .

Step-1: Prime Factorization of 4800

Prime factors of 4800 are 2, 3, 5. Prime factorization of 4800 in exponential form is:

4800 = 2⁶ × 3¹ × 5²

Step-2: Prime Factorization of 4812

Prime factors of 4812 are 2, 3, 401. Prime factorization of 4812 in exponential form is:

4812 = 2² × 3¹ × 401¹

Step-3: Factors of 4800

List of positive integer factors of 4800 that divides 4800 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, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400

Step-4: Factors of 4812

List of positive integer factors of 4812 that divides 4800 without a remainder.

1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4800 and 4812. The biggest common factor number is the GCF number.
So the greatest common factor 4800 and 4812 is 12.

Also check out the Least Common Multiple of 4800 and 4812