What is the Greatest Common Factor of 36336 and 36348?

Greatest common factor (GCF) of 36336 and 36348 is 12.

GCF(36336,36348) = 12

We will now calculate the prime factors of 36336 and 36348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36336 and 36348.

How to find the GCF of 36336 and 36348?

We will first find the prime factorization of 36336 and 36348. After we will calculate the factors of 36336 and 36348 and find the biggest common factor number .

Step-1: Prime Factorization of 36336

Prime factors of 36336 are 2, 3, 757. Prime factorization of 36336 in exponential form is:

36336 = 2⁴ × 3¹ × 757¹

Step-2: Prime Factorization of 36348

Prime factors of 36348 are 2, 3, 13, 233. Prime factorization of 36348 in exponential form is:

36348 = 2² × 3¹ × 13¹ × 233¹

Step-3: Factors of 36336

List of positive integer factors of 36336 that divides 36336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 757, 1514, 2271, 3028, 4542, 6056, 9084, 12112, 18168

Step-4: Factors of 36348

List of positive integer factors of 36348 that divides 36336 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 233, 466, 699, 932, 1398, 2796, 3029, 6058, 9087, 12116, 18174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36336 and 36348. The biggest common factor number is the GCF number.
So the greatest common factor 36336 and 36348 is 12.

Also check out the Least Common Multiple of 36336 and 36348