What is the Greatest Common Factor of 36363 and 36367?

Greatest common factor (GCF) of 36363 and 36367 is 1.

GCF(36363,36367) = 1

We will now calculate the prime factors of 36363 and 36367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36363 and 36367.

How to find the GCF of 36363 and 36367?

We will first find the prime factorization of 36363 and 36367. After we will calculate the factors of 36363 and 36367 and find the biggest common factor number .

Step-1: Prime Factorization of 36363

Prime factors of 36363 are 3, 17, 23, 31. Prime factorization of 36363 in exponential form is:

36363 = 3¹ × 17¹ × 23¹ × 31¹

Step-2: Prime Factorization of 36367

Prime factors of 36367 are 41, 887. Prime factorization of 36367 in exponential form is:

36367 = 41¹ × 887¹

Step-3: Factors of 36363

List of positive integer factors of 36363 that divides 36363 without a remainder.

1, 3, 17, 23, 31, 51, 69, 93, 391, 527, 713, 1173, 1581, 2139, 12121

Step-4: Factors of 36367

List of positive integer factors of 36367 that divides 36363 without a remainder.

1, 41, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36363 and 36367. The biggest common factor number is the GCF number.
So the greatest common factor 36363 and 36367 is 1.

Also check out the Least Common Multiple of 36363 and 36367