What is the Greatest Common Factor of 36537 and 36546?

Greatest common factor (GCF) of 36537 and 36546 is 3.

GCF(36537,36546) = 3

We will now calculate the prime factors of 36537 and 36546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36537 and 36546.

How to find the GCF of 36537 and 36546?

We will first find the prime factorization of 36537 and 36546. After we will calculate the factors of 36537 and 36546 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 36546

Prime factors of 36546 are 2, 3, 6091. Prime factorization of 36546 in exponential form is:

36546 = 2¹ × 3¹ × 6091¹

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 36546

List of positive integer factors of 36546 that divides 36537 without a remainder.

1, 2, 3, 6, 6091, 12182, 18273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36537 and 36546. The biggest common factor number is the GCF number.
So the greatest common factor 36537 and 36546 is 3.

Also check out the Least Common Multiple of 36537 and 36546