What is the Greatest Common Factor of 36600 and 36612?

Greatest common factor (GCF) of 36600 and 36612 is 12.

GCF(36600,36612) = 12

We will now calculate the prime factors of 36600 and 36612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36600 and 36612.

How to find the GCF of 36600 and 36612?

We will first find the prime factorization of 36600 and 36612. After we will calculate the factors of 36600 and 36612 and find the biggest common factor number .

Step-1: Prime Factorization of 36600

Prime factors of 36600 are 2, 3, 5, 61. Prime factorization of 36600 in exponential form is:

36600 = 2³ × 3¹ × 5² × 61¹

Step-2: Prime Factorization of 36612

Prime factors of 36612 are 2, 3, 113. Prime factorization of 36612 in exponential form is:

36612 = 2² × 3⁴ × 113¹

Step-3: Factors of 36600

List of positive integer factors of 36600 that divides 36600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 61, 75, 100, 120, 122, 150, 183, 200, 244, 300, 305, 366, 488, 600, 610, 732, 915, 1220, 1464, 1525, 1830, 2440, 3050, 3660, 4575, 6100, 7320, 9150, 12200, 18300

Step-4: Factors of 36612

List of positive integer factors of 36612 that divides 36600 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 113, 162, 226, 324, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 9153, 12204, 18306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36600 and 36612. The biggest common factor number is the GCF number.
So the greatest common factor 36600 and 36612 is 12.

Also check out the Least Common Multiple of 36600 and 36612