What is the Greatest Common Factor of 36487 and 36500?

Greatest common factor (GCF) of 36487 and 36500 is 1.

GCF(36487,36500) = 1

We will now calculate the prime factors of 36487 and 36500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36487 and 36500.

How to find the GCF of 36487 and 36500?

We will first find the prime factorization of 36487 and 36500. After we will calculate the factors of 36487 and 36500 and find the biggest common factor number .

Step-1: Prime Factorization of 36487

Prime factors of 36487 are 11, 31, 107. Prime factorization of 36487 in exponential form is:

36487 = 11¹ × 31¹ × 107¹

Step-2: 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-3: Factors of 36487

List of positive integer factors of 36487 that divides 36487 without a remainder.

1, 11, 31, 107, 341, 1177, 3317

Step-4: Factors of 36500

List of positive integer factors of 36500 that divides 36487 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36487 and 36500. The biggest common factor number is the GCF number.
So the greatest common factor 36487 and 36500 is 1.

Also check out the Least Common Multiple of 36487 and 36500