What is the Greatest Common Factor of 4836 and 4856?

Greatest common factor (GCF) of 4836 and 4856 is 4.

GCF(4836,4856) = 4

We will now calculate the prime factors of 4836 and 4856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4836 and 4856.

How to find the GCF of 4836 and 4856?

We will first find the prime factorization of 4836 and 4856. After we will calculate the factors of 4836 and 4856 and find the biggest common factor number .

Step-1: Prime Factorization of 4836

Prime factors of 4836 are 2, 3, 13, 31. Prime factorization of 4836 in exponential form is:

4836 = 2² × 3¹ × 13¹ × 31¹

Step-2: Prime Factorization of 4856

Prime factors of 4856 are 2, 607. Prime factorization of 4856 in exponential form is:

4856 = 2³ × 607¹

Step-3: Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418

Step-4: Factors of 4856

List of positive integer factors of 4856 that divides 4836 without a remainder.

1, 2, 4, 8, 607, 1214, 2428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4836 and 4856. The biggest common factor number is the GCF number.
So the greatest common factor 4836 and 4856 is 4.

Also check out the Least Common Multiple of 4836 and 4856