What is the Greatest Common Factor of 4823 and 4836?

Greatest common factor (GCF) of 4823 and 4836 is 13.

GCF(4823,4836) = 13

We will now calculate the prime factors of 4823 and 4836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4823 and 4836.

How to find the GCF of 4823 and 4836?

We will first find the prime factorization of 4823 and 4836. After we will calculate the factors of 4823 and 4836 and find the biggest common factor number .

Step-1: Prime Factorization of 4823

Prime factors of 4823 are 7, 13, 53. Prime factorization of 4823 in exponential form is:

4823 = 7¹ × 13¹ × 53¹

Step-2: 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-3: Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1, 7, 13, 53, 91, 371, 689

Step-4: Factors of 4836

List of positive integer factors of 4836 that divides 4823 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4823 and 4836. The biggest common factor number is the GCF number.
So the greatest common factor 4823 and 4836 is 13.

Also check out the Least Common Multiple of 4823 and 4836