What is the Greatest Common Factor of 36504 and 36512?

Greatest common factor (GCF) of 36504 and 36512 is 8.

GCF(36504,36512) = 8

We will now calculate the prime factors of 36504 and 36512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36504 and 36512.

How to find the GCF of 36504 and 36512?

We will first find the prime factorization of 36504 and 36512. After we will calculate the factors of 36504 and 36512 and find the biggest common factor number .

Step-1: Prime Factorization of 36504

Prime factors of 36504 are 2, 3, 13. Prime factorization of 36504 in exponential form is:

36504 = 2³ × 3³ × 13²

Step-2: Prime Factorization of 36512

Prime factors of 36512 are 2, 7, 163. Prime factorization of 36512 in exponential form is:

36512 = 2⁵ × 7¹ × 163¹

Step-3: Factors of 36504

List of positive integer factors of 36504 that divides 36504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 169, 216, 234, 312, 338, 351, 468, 507, 676, 702, 936, 1014, 1352, 1404, 1521, 2028, 2808, 3042, 4056, 4563, 6084, 9126, 12168, 18252

Step-4: Factors of 36512

List of positive integer factors of 36512 that divides 36504 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 163, 224, 326, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 18256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36504 and 36512. The biggest common factor number is the GCF number.
So the greatest common factor 36504 and 36512 is 8.

Also check out the Least Common Multiple of 36504 and 36512