What is the Greatest Common Factor of 36756 and 36771?

Greatest common factor (GCF) of 36756 and 36771 is 3.

GCF(36756,36771) = 3

We will now calculate the prime factors of 36756 and 36771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36756 and 36771.

How to find the GCF of 36756 and 36771?

We will first find the prime factorization of 36756 and 36771. After we will calculate the factors of 36756 and 36771 and find the biggest common factor number .

Step-1: Prime Factorization of 36756

Prime factors of 36756 are 2, 3, 1021. Prime factorization of 36756 in exponential form is:

36756 = 2² × 3² × 1021¹

Step-2: Prime Factorization of 36771

Prime factors of 36771 are 3, 7, 17, 103. Prime factorization of 36771 in exponential form is:

36771 = 3¹ × 7¹ × 17¹ × 103¹

Step-3: Factors of 36756

List of positive integer factors of 36756 that divides 36756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1021, 2042, 3063, 4084, 6126, 9189, 12252, 18378

Step-4: Factors of 36771

List of positive integer factors of 36771 that divides 36756 without a remainder.

1, 3, 7, 17, 21, 51, 103, 119, 309, 357, 721, 1751, 2163, 5253, 12257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36756 and 36771. The biggest common factor number is the GCF number.
So the greatest common factor 36756 and 36771 is 3.

Also check out the Least Common Multiple of 36756 and 36771