What is the Greatest Common Factor of 36696 and 36711?

Greatest common factor (GCF) of 36696 and 36711 is 3.

GCF(36696,36711) = 3

We will now calculate the prime factors of 36696 and 36711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36696 and 36711.

How to find the GCF of 36696 and 36711?

We will first find the prime factorization of 36696 and 36711. After we will calculate the factors of 36696 and 36711 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 36711

Prime factors of 36711 are 3, 4079. Prime factorization of 36711 in exponential form is:

36711 = 3² × 4079¹

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 36711

List of positive integer factors of 36711 that divides 36696 without a remainder.

1, 3, 9, 4079, 12237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36696 and 36711. The biggest common factor number is the GCF number.
So the greatest common factor 36696 and 36711 is 3.

Also check out the Least Common Multiple of 36696 and 36711