What is the Greatest Common Factor of 23543 and 23556?

Greatest common factor (GCF) of 23543 and 23556 is 13.

GCF(23543,23556) = 13

We will now calculate the prime factors of 23543 and 23556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23543 and 23556.

How to find the GCF of 23543 and 23556?

We will first find the prime factorization of 23543 and 23556. After we will calculate the factors of 23543 and 23556 and find the biggest common factor number .

Step-1: Prime Factorization of 23543

Prime factors of 23543 are 13, 1811. Prime factorization of 23543 in exponential form is:

23543 = 13¹ × 1811¹

Step-2: Prime Factorization of 23556

Prime factors of 23556 are 2, 3, 13, 151. Prime factorization of 23556 in exponential form is:

23556 = 2² × 3¹ × 13¹ × 151¹

Step-3: Factors of 23543

List of positive integer factors of 23543 that divides 23543 without a remainder.

1, 13, 1811

Step-4: Factors of 23556

List of positive integer factors of 23556 that divides 23543 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 151, 156, 302, 453, 604, 906, 1812, 1963, 3926, 5889, 7852, 11778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23543 and 23556. The biggest common factor number is the GCF number.
So the greatest common factor 23543 and 23556 is 13.

Also check out the Least Common Multiple of 23543 and 23556