What is the Greatest Common Factor of 36600 and 36618?

Greatest common factor (GCF) of 36600 and 36618 is 6.

GCF(36600,36618) = 6

We will now calculate the prime factors of 36600 and 36618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36600 and 36618.

How to find the GCF of 36600 and 36618?

We will first find the prime factorization of 36600 and 36618. After we will calculate the factors of 36600 and 36618 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 36618

Prime factors of 36618 are 2, 3, 17, 359. Prime factorization of 36618 in exponential form is:

36618 = 2¹ × 3¹ × 17¹ × 359¹

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 36618

List of positive integer factors of 36618 that divides 36600 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 359, 718, 1077, 2154, 6103, 12206, 18309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36600 and 36618. The biggest common factor number is the GCF number.
So the greatest common factor 36600 and 36618 is 6.

Also check out the Least Common Multiple of 36600 and 36618