What is the Greatest Common Factor of 56823 and 56836?

Greatest common factor (GCF) of 56823 and 56836 is 13.

GCF(56823,56836) = 13

We will now calculate the prime factors of 56823 and 56836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56823 and 56836.

How to find the GCF of 56823 and 56836?

We will first find the prime factorization of 56823 and 56836. After we will calculate the factors of 56823 and 56836 and find the biggest common factor number .

Step-1: Prime Factorization of 56823

Prime factors of 56823 are 3, 13, 31, 47. Prime factorization of 56823 in exponential form is:

56823 = 3¹ × 13¹ × 31¹ × 47¹

Step-2: Prime Factorization of 56836

Prime factors of 56836 are 2, 13, 1093. Prime factorization of 56836 in exponential form is:

56836 = 2² × 13¹ × 1093¹

Step-3: Factors of 56823

List of positive integer factors of 56823 that divides 56823 without a remainder.

1, 3, 13, 31, 39, 47, 93, 141, 403, 611, 1209, 1457, 1833, 4371, 18941

Step-4: Factors of 56836

List of positive integer factors of 56836 that divides 56823 without a remainder.

1, 2, 4, 13, 26, 52, 1093, 2186, 4372, 14209, 28418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56823 and 56836. The biggest common factor number is the GCF number.
So the greatest common factor 56823 and 56836 is 13.

Also check out the Least Common Multiple of 56823 and 56836