What is the Greatest Common Factor of 36700 and 36705?

Greatest common factor (GCF) of 36700 and 36705 is 5.

GCF(36700,36705) = 5

We will now calculate the prime factors of 36700 and 36705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36700 and 36705.

How to find the GCF of 36700 and 36705?

We will first find the prime factorization of 36700 and 36705. After we will calculate the factors of 36700 and 36705 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 36705

Prime factors of 36705 are 3, 5, 2447. Prime factorization of 36705 in exponential form is:

36705 = 3¹ × 5¹ × 2447¹

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 36705

List of positive integer factors of 36705 that divides 36700 without a remainder.

1, 3, 5, 15, 2447, 7341, 12235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36700 and 36705. The biggest common factor number is the GCF number.
So the greatest common factor 36700 and 36705 is 5.

Also check out the Least Common Multiple of 36700 and 36705