What is the Greatest Common Factor of 36696 and 36700?

Greatest common factor (GCF) of 36696 and 36700 is 4.

GCF(36696,36700) = 4

We will now calculate the prime factors of 36696 and 36700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36696 and 36700.

How to find the GCF of 36696 and 36700?

We will first find the prime factorization of 36696 and 36700. After we will calculate the factors of 36696 and 36700 and find the biggest common factor number .

Step-1: Prime Factorization of 36696

Prime factors of 36696 are 2, 3, 11, 139. Prime factorization of 36696 in exponential form is:

36696 = 2³ × 3¹ × 11¹ × 139¹

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 36696

List of positive integer factors of 36696 that divides 36696 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 139, 264, 278, 417, 556, 834, 1112, 1529, 1668, 3058, 3336, 4587, 6116, 9174, 12232, 18348

Step-4: Factors of 36700

List of positive integer factors of 36700 that divides 36696 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 36696 and 36700. The biggest common factor number is the GCF number.
So the greatest common factor 36696 and 36700 is 4.

Also check out the Least Common Multiple of 36696 and 36700