What is the Greatest Common Factor of 36700 and 36719?

Greatest common factor (GCF) of 36700 and 36719 is 1.

GCF(36700,36719) = 1

We will now calculate the prime factors of 36700 and 36719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36700 and 36719.

How to find the GCF of 36700 and 36719?

We will first find the prime factorization of 36700 and 36719. After we will calculate the factors of 36700 and 36719 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 36719

Prime factors of 36719 are 73, 503. Prime factorization of 36719 in exponential form is:

36719 = 73¹ × 503¹

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 36719

List of positive integer factors of 36719 that divides 36700 without a remainder.

1, 73, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36700 and 36719. The biggest common factor number is the GCF number.
So the greatest common factor 36700 and 36719 is 1.

Also check out the Least Common Multiple of 36700 and 36719