What is the Greatest Common Factor of 36396 and 36416?

Greatest common factor (GCF) of 36396 and 36416 is 4.

GCF(36396,36416) = 4

We will now calculate the prime factors of 36396 and 36416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36396 and 36416.

How to find the GCF of 36396 and 36416?

We will first find the prime factorization of 36396 and 36416. After we will calculate the factors of 36396 and 36416 and find the biggest common factor number .

Step-1: Prime Factorization of 36396

Prime factors of 36396 are 2, 3, 337. Prime factorization of 36396 in exponential form is:

36396 = 2² × 3³ × 337¹

Step-2: Prime Factorization of 36416

Prime factors of 36416 are 2, 569. Prime factorization of 36416 in exponential form is:

36416 = 2⁶ × 569¹

Step-3: Factors of 36396

List of positive integer factors of 36396 that divides 36396 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 337, 674, 1011, 1348, 2022, 3033, 4044, 6066, 9099, 12132, 18198

Step-4: Factors of 36416

List of positive integer factors of 36416 that divides 36396 without a remainder.

1, 2, 4, 8, 16, 32, 64, 569, 1138, 2276, 4552, 9104, 18208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36396 and 36416. The biggest common factor number is the GCF number.
So the greatest common factor 36396 and 36416 is 4.

Also check out the Least Common Multiple of 36396 and 36416