What is the Greatest Common Factor of 4836 and 4850?

Greatest common factor (GCF) of 4836 and 4850 is 2.

GCF(4836,4850) = 2

We will now calculate the prime factors of 4836 and 4850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4836 and 4850.

How to find the GCF of 4836 and 4850?

We will first find the prime factorization of 4836 and 4850. After we will calculate the factors of 4836 and 4850 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 4850

Prime factors of 4850 are 2, 5, 97. Prime factorization of 4850 in exponential form is:

4850 = 2¹ × 5² × 97¹

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 4850

List of positive integer factors of 4850 that divides 4836 without a remainder.

1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4836 and 4850. The biggest common factor number is the GCF number.
So the greatest common factor 4836 and 4850 is 2.

Also check out the Least Common Multiple of 4836 and 4850