What is the Greatest Common Factor of 36488 and 36504?

Greatest common factor (GCF) of 36488 and 36504 is 8.

GCF(36488,36504) = 8

We will now calculate the prime factors of 36488 and 36504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36488 and 36504.

How to find the GCF of 36488 and 36504?

We will first find the prime factorization of 36488 and 36504. After we will calculate the factors of 36488 and 36504 and find the biggest common factor number .

Step-1: Prime Factorization of 36488

Prime factors of 36488 are 2, 4561. Prime factorization of 36488 in exponential form is:

36488 = 2³ × 4561¹

Step-2: 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-3: Factors of 36488

List of positive integer factors of 36488 that divides 36488 without a remainder.

1, 2, 4, 8, 4561, 9122, 18244

Step-4: Factors of 36504

List of positive integer factors of 36504 that divides 36488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36488 and 36504. The biggest common factor number is the GCF number.
So the greatest common factor 36488 and 36504 is 8.

Also check out the Least Common Multiple of 36488 and 36504