What is the Greatest Common Factor of 36692 and 36700?

Greatest common factor (GCF) of 36692 and 36700 is 4.

GCF(36692,36700) = 4

We will now calculate the prime factors of 36692 and 36700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36692 and 36700.

How to find the GCF of 36692 and 36700?

We will first find the prime factorization of 36692 and 36700. After we will calculate the factors of 36692 and 36700 and find the biggest common factor number .

Step-1: Prime Factorization of 36692

Prime factors of 36692 are 2, 9173. Prime factorization of 36692 in exponential form is:

36692 = 2² × 9173¹

Step-2: 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-3: Factors of 36692

List of positive integer factors of 36692 that divides 36692 without a remainder.

1, 2, 4, 9173, 18346

Step-4: Factors of 36700

List of positive integer factors of 36700 that divides 36692 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36692 and 36700. The biggest common factor number is the GCF number.
So the greatest common factor 36692 and 36700 is 4.

Also check out the Least Common Multiple of 36692 and 36700