What is the Greatest Common Factor of 36384 and 36388?

Greatest common factor (GCF) of 36384 and 36388 is 4.

GCF(36384,36388) = 4

We will now calculate the prime factors of 36384 and 36388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36384 and 36388.

How to find the GCF of 36384 and 36388?

We will first find the prime factorization of 36384 and 36388. After we will calculate the factors of 36384 and 36388 and find the biggest common factor number .

Step-1: Prime Factorization of 36384

Prime factors of 36384 are 2, 3, 379. Prime factorization of 36384 in exponential form is:

36384 = 2⁵ × 3¹ × 379¹

Step-2: Prime Factorization of 36388

Prime factors of 36388 are 2, 11, 827. Prime factorization of 36388 in exponential form is:

36388 = 2² × 11¹ × 827¹

Step-3: Factors of 36384

List of positive integer factors of 36384 that divides 36384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 379, 758, 1137, 1516, 2274, 3032, 4548, 6064, 9096, 12128, 18192

Step-4: Factors of 36388

List of positive integer factors of 36388 that divides 36384 without a remainder.

1, 2, 4, 11, 22, 44, 827, 1654, 3308, 9097, 18194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36384 and 36388. The biggest common factor number is the GCF number.
So the greatest common factor 36384 and 36388 is 4.

Also check out the Least Common Multiple of 36384 and 36388