What is the Greatest Common Factor of 36347 and 36366?

Greatest common factor (GCF) of 36347 and 36366 is 19.

GCF(36347,36366) = 19

We will now calculate the prime factors of 36347 and 36366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36347 and 36366.

How to find the GCF of 36347 and 36366?

We will first find the prime factorization of 36347 and 36366. After we will calculate the factors of 36347 and 36366 and find the biggest common factor number .

Step-1: Prime Factorization of 36347

Prime factors of 36347 are 19, 1913. Prime factorization of 36347 in exponential form is:

36347 = 19¹ × 1913¹

Step-2: 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-3: Factors of 36347

List of positive integer factors of 36347 that divides 36347 without a remainder.

1, 19, 1913

Step-4: Factors of 36366

List of positive integer factors of 36366 that divides 36347 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36347 and 36366. The biggest common factor number is the GCF number.
So the greatest common factor 36347 and 36366 is 19.

Also check out the Least Common Multiple of 36347 and 36366