What is the Greatest Common Factor of 36590 and 36600?

Greatest common factor (GCF) of 36590 and 36600 is 10.

GCF(36590,36600) = 10

We will now calculate the prime factors of 36590 and 36600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36590 and 36600.

How to find the GCF of 36590 and 36600?

We will first find the prime factorization of 36590 and 36600. After we will calculate the factors of 36590 and 36600 and find the biggest common factor number .

Step-1: Prime Factorization of 36590

Prime factors of 36590 are 2, 5, 3659. Prime factorization of 36590 in exponential form is:

36590 = 2¹ × 5¹ × 3659¹

Step-2: 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-3: Factors of 36590

List of positive integer factors of 36590 that divides 36590 without a remainder.

1, 2, 5, 10, 3659, 7318, 18295

Step-4: Factors of 36600

List of positive integer factors of 36600 that divides 36590 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36590 and 36600. The biggest common factor number is the GCF number.
So the greatest common factor 36590 and 36600 is 10.

Also check out the Least Common Multiple of 36590 and 36600