What is the Greatest Common Factor of 36380 and 36396?

Greatest common factor (GCF) of 36380 and 36396 is 4.

GCF(36380,36396) = 4

We will now calculate the prime factors of 36380 and 36396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36380 and 36396.

How to find the GCF of 36380 and 36396?

We will first find the prime factorization of 36380 and 36396. After we will calculate the factors of 36380 and 36396 and find the biggest common factor number .

Step-1: Prime Factorization of 36380

Prime factors of 36380 are 2, 5, 17, 107. Prime factorization of 36380 in exponential form is:

36380 = 2² × 5¹ × 17¹ × 107¹

Step-2: 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-3: Factors of 36380

List of positive integer factors of 36380 that divides 36380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 107, 170, 214, 340, 428, 535, 1070, 1819, 2140, 3638, 7276, 9095, 18190

Step-4: Factors of 36396

List of positive integer factors of 36396 that divides 36380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36380 and 36396. The biggest common factor number is the GCF number.
So the greatest common factor 36380 and 36396 is 4.

Also check out the Least Common Multiple of 36380 and 36396