What is the Greatest Common Factor of 36537 and 36543?

Greatest common factor (GCF) of 36537 and 36543 is 3.

GCF(36537,36543) = 3

We will now calculate the prime factors of 36537 and 36543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36537 and 36543.

How to find the GCF of 36537 and 36543?

We will first find the prime factorization of 36537 and 36543. After we will calculate the factors of 36537 and 36543 and find the biggest common factor number .

Step-1: Prime Factorization of 36537

Prime factors of 36537 are 3, 19, 641. Prime factorization of 36537 in exponential form is:

36537 = 3¹ × 19¹ × 641¹

Step-2: 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-3: Factors of 36537

List of positive integer factors of 36537 that divides 36537 without a remainder.

1, 3, 19, 57, 641, 1923, 12179

Step-4: Factors of 36543

List of positive integer factors of 36543 that divides 36537 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36537 and 36543. The biggest common factor number is the GCF number.
So the greatest common factor 36537 and 36543 is 3.

Also check out the Least Common Multiple of 36537 and 36543