What is the Greatest Common Factor of 36700 and 36709?

Greatest common factor (GCF) of 36700 and 36709 is 1.

GCF(36700,36709) = 1

We will now calculate the prime factors of 36700 and 36709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36700 and 36709.

How to find the GCF of 36700 and 36709?

We will first find the prime factorization of 36700 and 36709. After we will calculate the factors of 36700 and 36709 and find the biggest common factor number .

Step-1: Prime Factorization of 36700

Prime factors of 36700 are 2, 5, 367. Prime factorization of 36700 in exponential form is:

36700 = 2² × 5² × 367¹

Step-2: Prime Factorization of 36709

Prime factors of 36709 are 36709. Prime factorization of 36709 in exponential form is:

36709 = 36709¹

Step-3: Factors of 36700

List of positive integer factors of 36700 that divides 36700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 367, 734, 1468, 1835, 3670, 7340, 9175, 18350

Step-4: Factors of 36709

List of positive integer factors of 36709 that divides 36700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36700 and 36709. The biggest common factor number is the GCF number.
So the greatest common factor 36700 and 36709 is 1.

Also check out the Least Common Multiple of 36700 and 36709