What is the Greatest Common Factor of 36896 and 36904?

Greatest common factor (GCF) of 36896 and 36904 is 8.

GCF(36896,36904) = 8

We will now calculate the prime factors of 36896 and 36904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36896 and 36904.

How to find the GCF of 36896 and 36904?

We will first find the prime factorization of 36896 and 36904. After we will calculate the factors of 36896 and 36904 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 36904

Prime factors of 36904 are 2, 7, 659. Prime factorization of 36904 in exponential form is:

36904 = 2³ × 7¹ × 659¹

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 36904

List of positive integer factors of 36904 that divides 36896 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 659, 1318, 2636, 4613, 5272, 9226, 18452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36896 and 36904. The biggest common factor number is the GCF number.
So the greatest common factor 36896 and 36904 is 8.

Also check out the Least Common Multiple of 36896 and 36904