What is the Greatest Common Factor of 36600 and 36616?

Greatest common factor (GCF) of 36600 and 36616 is 8.

GCF(36600,36616) = 8

We will now calculate the prime factors of 36600 and 36616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36600 and 36616.

How to find the GCF of 36600 and 36616?

We will first find the prime factorization of 36600 and 36616. After we will calculate the factors of 36600 and 36616 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 36616

Prime factors of 36616 are 2, 23, 199. Prime factorization of 36616 in exponential form is:

36616 = 2³ × 23¹ × 199¹

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 36616

List of positive integer factors of 36616 that divides 36600 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 199, 398, 796, 1592, 4577, 9154, 18308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36600 and 36616. The biggest common factor number is the GCF number.
So the greatest common factor 36600 and 36616 is 8.

Also check out the Least Common Multiple of 36600 and 36616