What is the Greatest Common Factor of 36576 and 36592?

Greatest common factor (GCF) of 36576 and 36592 is 16.

GCF(36576,36592) = 16

We will now calculate the prime factors of 36576 and 36592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36576 and 36592.

How to find the GCF of 36576 and 36592?

We will first find the prime factorization of 36576 and 36592. After we will calculate the factors of 36576 and 36592 and find the biggest common factor number .

Step-1: Prime Factorization of 36576

Prime factors of 36576 are 2, 3, 127. Prime factorization of 36576 in exponential form is:

36576 = 2⁵ × 3² × 127¹

Step-2: Prime Factorization of 36592

Prime factors of 36592 are 2, 2287. Prime factorization of 36592 in exponential form is:

36592 = 2⁴ × 2287¹

Step-3: Factors of 36576

List of positive integer factors of 36576 that divides 36576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 127, 144, 254, 288, 381, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 4064, 4572, 6096, 9144, 12192, 18288

Step-4: Factors of 36592

List of positive integer factors of 36592 that divides 36576 without a remainder.

1, 2, 4, 8, 16, 2287, 4574, 9148, 18296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36576 and 36592. The biggest common factor number is the GCF number.
So the greatest common factor 36576 and 36592 is 16.

Also check out the Least Common Multiple of 36576 and 36592