What is the Greatest Common Factor of 36564 and 36576?

Greatest common factor (GCF) of 36564 and 36576 is 12.

GCF(36564,36576) = 12

We will now calculate the prime factors of 36564 and 36576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36564 and 36576.

How to find the GCF of 36564 and 36576?

We will first find the prime factorization of 36564 and 36576. After we will calculate the factors of 36564 and 36576 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36576

Prime factors of 36576 are 2, 3, 127. Prime factorization of 36576 in exponential form is:

36576 = 2⁵ × 3² × 127¹

Step-3: Factors of 36564

List of positive integer factors of 36564 that divides 36564 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

Step-4: Factors of 36576

List of positive integer factors of 36576 that divides 36564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 127, 144, 254, 288, 381, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 4064, 4572, 6096, 9144, 12192, 18288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36564 and 36576. The biggest common factor number is the GCF number.
So the greatest common factor 36564 and 36576 is 12.

Also check out the Least Common Multiple of 36564 and 36576