What is the Greatest Common Factor of 36500 and 36505?

Greatest common factor (GCF) of 36500 and 36505 is 5.

GCF(36500,36505) = 5

We will now calculate the prime factors of 36500 and 36505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36500 and 36505.

How to find the GCF of 36500 and 36505?

We will first find the prime factorization of 36500 and 36505. After we will calculate the factors of 36500 and 36505 and find the biggest common factor number .

Step-1: Prime Factorization of 36500

Prime factors of 36500 are 2, 5, 73. Prime factorization of 36500 in exponential form is:

36500 = 2² × 5³ × 73¹

Step-2: Prime Factorization of 36505

Prime factors of 36505 are 5, 7, 149. Prime factorization of 36505 in exponential form is:

36505 = 5¹ × 7² × 149¹

Step-3: Factors of 36500

List of positive integer factors of 36500 that divides 36500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 125, 146, 250, 292, 365, 500, 730, 1460, 1825, 3650, 7300, 9125, 18250

Step-4: Factors of 36505

List of positive integer factors of 36505 that divides 36500 without a remainder.

1, 5, 7, 35, 49, 149, 245, 745, 1043, 5215, 7301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36500 and 36505. The biggest common factor number is the GCF number.
So the greatest common factor 36500 and 36505 is 5.

Also check out the Least Common Multiple of 36500 and 36505