What is the Greatest Common Factor of 4836 and 4854?

Greatest common factor (GCF) of 4836 and 4854 is 6.

GCF(4836,4854) = 6

We will now calculate the prime factors of 4836 and 4854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4836 and 4854.

How to find the GCF of 4836 and 4854?

We will first find the prime factorization of 4836 and 4854. After we will calculate the factors of 4836 and 4854 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 4854

Prime factors of 4854 are 2, 3, 809. Prime factorization of 4854 in exponential form is:

4854 = 2¹ × 3¹ × 809¹

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 4854

List of positive integer factors of 4854 that divides 4836 without a remainder.

1, 2, 3, 6, 809, 1618, 2427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4836 and 4854. The biggest common factor number is the GCF number.
So the greatest common factor 4836 and 4854 is 6.

Also check out the Least Common Multiple of 4836 and 4854