What is the Greatest Common Factor of 36366 and 36377?

Greatest common factor (GCF) of 36366 and 36377 is 11.

GCF(36366,36377) = 11

We will now calculate the prime factors of 36366 and 36377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36366 and 36377.

How to find the GCF of 36366 and 36377?

We will first find the prime factorization of 36366 and 36377. After we will calculate the factors of 36366 and 36377 and find the biggest common factor number .

Step-1: Prime Factorization of 36366

Prime factors of 36366 are 2, 3, 11, 19, 29. Prime factorization of 36366 in exponential form is:

36366 = 2¹ × 3¹ × 11¹ × 19¹ × 29¹

Step-2: Prime Factorization of 36377

Prime factors of 36377 are 11, 3307. Prime factorization of 36377 in exponential form is:

36377 = 11¹ × 3307¹

Step-3: Factors of 36366

List of positive integer factors of 36366 that divides 36366 without a remainder.

1, 2, 3, 6, 11, 19, 22, 29, 33, 38, 57, 58, 66, 87, 114, 174, 209, 319, 418, 551, 627, 638, 957, 1102, 1254, 1653, 1914, 3306, 6061, 12122, 18183

Step-4: Factors of 36377

List of positive integer factors of 36377 that divides 36366 without a remainder.

1, 11, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36366 and 36377. The biggest common factor number is the GCF number.
So the greatest common factor 36366 and 36377 is 11.

Also check out the Least Common Multiple of 36366 and 36377