What is the Greatest Common Factor of 36537 and 36549?

Greatest common factor (GCF) of 36537 and 36549 is 3.

GCF(36537,36549) = 3

We will now calculate the prime factors of 36537 and 36549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36537 and 36549.

How to find the GCF of 36537 and 36549?

We will first find the prime factorization of 36537 and 36549. After we will calculate the factors of 36537 and 36549 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 36549

Prime factors of 36549 are 3, 31, 131. Prime factorization of 36549 in exponential form is:

36549 = 3² × 31¹ × 131¹

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 36549

List of positive integer factors of 36549 that divides 36537 without a remainder.

1, 3, 9, 31, 93, 131, 279, 393, 1179, 4061, 12183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36537 and 36549. The biggest common factor number is the GCF number.
So the greatest common factor 36537 and 36549 is 3.

Also check out the Least Common Multiple of 36537 and 36549