What is the Greatest Common Factor of 36736 and 36756?

Greatest common factor (GCF) of 36736 and 36756 is 4.

GCF(36736,36756) = 4

We will now calculate the prime factors of 36736 and 36756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36736 and 36756.

How to find the GCF of 36736 and 36756?

We will first find the prime factorization of 36736 and 36756. After we will calculate the factors of 36736 and 36756 and find the biggest common factor number .

Step-1: Prime Factorization of 36736

Prime factors of 36736 are 2, 7, 41. Prime factorization of 36736 in exponential form is:

36736 = 2⁷ × 7¹ × 41¹

Step-2: 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-3: Factors of 36736

List of positive integer factors of 36736 that divides 36736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 128, 164, 224, 287, 328, 448, 574, 656, 896, 1148, 1312, 2296, 2624, 4592, 5248, 9184, 18368

Step-4: Factors of 36756

List of positive integer factors of 36756 that divides 36736 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36736 and 36756. The biggest common factor number is the GCF number.
So the greatest common factor 36736 and 36756 is 4.

Also check out the Least Common Multiple of 36736 and 36756