What is the Greatest Common Factor of 4792 and 4800?

Greatest common factor (GCF) of 4792 and 4800 is 8.

GCF(4792,4800) = 8

We will now calculate the prime factors of 4792 and 4800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4792 and 4800.

How to find the GCF of 4792 and 4800?

We will first find the prime factorization of 4792 and 4800. After we will calculate the factors of 4792 and 4800 and find the biggest common factor number .

Step-1: Prime Factorization of 4792

Prime factors of 4792 are 2, 599. Prime factorization of 4792 in exponential form is:

4792 = 2³ × 599¹

Step-2: 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-3: Factors of 4792

List of positive integer factors of 4792 that divides 4792 without a remainder.

1, 2, 4, 8, 599, 1198, 2396

Step-4: Factors of 4800

List of positive integer factors of 4800 that divides 4792 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4792 and 4800. The biggest common factor number is the GCF number.
So the greatest common factor 4792 and 4800 is 8.

Also check out the Least Common Multiple of 4792 and 4800