What is the Greatest Common Factor of 36345 and 36363?

Greatest common factor (GCF) of 36345 and 36363 is 3.

GCF(36345,36363) = 3

We will now calculate the prime factors of 36345 and 36363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36345 and 36363.

How to find the GCF of 36345 and 36363?

We will first find the prime factorization of 36345 and 36363. After we will calculate the factors of 36345 and 36363 and find the biggest common factor number .

Step-1: Prime Factorization of 36345

Prime factors of 36345 are 3, 5, 2423. Prime factorization of 36345 in exponential form is:

36345 = 3¹ × 5¹ × 2423¹

Step-2: 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-3: Factors of 36345

List of positive integer factors of 36345 that divides 36345 without a remainder.

1, 3, 5, 15, 2423, 7269, 12115

Step-4: Factors of 36363

List of positive integer factors of 36363 that divides 36345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36345 and 36363. The biggest common factor number is the GCF number.
So the greatest common factor 36345 and 36363 is 3.

Also check out the Least Common Multiple of 36345 and 36363