What is the Greatest Common Factor of 36543 and 36556?

Greatest common factor (GCF) of 36543 and 36556 is 13.

GCF(36543,36556) = 13

We will now calculate the prime factors of 36543 and 36556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36543 and 36556.

How to find the GCF of 36543 and 36556?

We will first find the prime factorization of 36543 and 36556. After we will calculate the factors of 36543 and 36556 and find the biggest common factor number .

Step-1: Prime Factorization of 36543

Prime factors of 36543 are 3, 13, 937. Prime factorization of 36543 in exponential form is:

36543 = 3¹ × 13¹ × 937¹

Step-2: Prime Factorization of 36556

Prime factors of 36556 are 2, 13, 19, 37. Prime factorization of 36556 in exponential form is:

36556 = 2² × 13¹ × 19¹ × 37¹

Step-3: Factors of 36543

List of positive integer factors of 36543 that divides 36543 without a remainder.

1, 3, 13, 39, 937, 2811, 12181

Step-4: Factors of 36556

List of positive integer factors of 36556 that divides 36543 without a remainder.

1, 2, 4, 13, 19, 26, 37, 38, 52, 74, 76, 148, 247, 481, 494, 703, 962, 988, 1406, 1924, 2812, 9139, 18278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36543 and 36556. The biggest common factor number is the GCF number.
So the greatest common factor 36543 and 36556 is 13.

Also check out the Least Common Multiple of 36543 and 36556