What is the Greatest Common Factor of 36896 and 36909?

Greatest common factor (GCF) of 36896 and 36909 is 1.

GCF(36896,36909) = 1

We will now calculate the prime factors of 36896 and 36909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36896 and 36909.

How to find the GCF of 36896 and 36909?

We will first find the prime factorization of 36896 and 36909. After we will calculate the factors of 36896 and 36909 and find the biggest common factor number .

Step-1: Prime Factorization of 36896

Prime factors of 36896 are 2, 1153. Prime factorization of 36896 in exponential form is:

36896 = 2⁵ × 1153¹

Step-2: Prime Factorization of 36909

Prime factors of 36909 are 3, 1367. Prime factorization of 36909 in exponential form is:

36909 = 3³ × 1367¹

Step-3: Factors of 36896

List of positive integer factors of 36896 that divides 36896 without a remainder.

1, 2, 4, 8, 16, 32, 1153, 2306, 4612, 9224, 18448

Step-4: Factors of 36909

List of positive integer factors of 36909 that divides 36896 without a remainder.

1, 3, 9, 27, 1367, 4101, 12303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36896 and 36909. The biggest common factor number is the GCF number.
So the greatest common factor 36896 and 36909 is 1.

Also check out the Least Common Multiple of 36896 and 36909