What is the Greatest Common Factor of 36880 and 36896?

Greatest common factor (GCF) of 36880 and 36896 is 16.

GCF(36880,36896) = 16

We will now calculate the prime factors of 36880 and 36896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36880 and 36896.

How to find the GCF of 36880 and 36896?

We will first find the prime factorization of 36880 and 36896. After we will calculate the factors of 36880 and 36896 and find the biggest common factor number .

Step-1: Prime Factorization of 36880

Prime factors of 36880 are 2, 5, 461. Prime factorization of 36880 in exponential form is:

36880 = 2⁴ × 5¹ × 461¹

Step-2: Prime Factorization of 36896

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

36896 = 2⁵ × 1153¹

Step-3: Factors of 36880

List of positive integer factors of 36880 that divides 36880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 461, 922, 1844, 2305, 3688, 4610, 7376, 9220, 18440

Step-4: Factors of 36896

List of positive integer factors of 36896 that divides 36880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36880 and 36896. The biggest common factor number is the GCF number.
So the greatest common factor 36880 and 36896 is 16.

Also check out the Least Common Multiple of 36880 and 36896