What is the Greatest Common Factor of 36546 and 36564?

Greatest common factor (GCF) of 36546 and 36564 is 6.

GCF(36546,36564) = 6

We will now calculate the prime factors of 36546 and 36564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36546 and 36564.

How to find the GCF of 36546 and 36564?

We will first find the prime factorization of 36546 and 36564. After we will calculate the factors of 36546 and 36564 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36564

Prime factors of 36564 are 2, 3, 11, 277. Prime factorization of 36564 in exponential form is:

36564 = 2² × 3¹ × 11¹ × 277¹

Step-3: Factors of 36546

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

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

Step-4: Factors of 36564

List of positive integer factors of 36564 that divides 36546 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 277, 554, 831, 1108, 1662, 3047, 3324, 6094, 9141, 12188, 18282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36546 and 36564. The biggest common factor number is the GCF number.
So the greatest common factor 36546 and 36564 is 6.

Also check out the Least Common Multiple of 36546 and 36564