What is the Greatest Common Factor of 36351 and 36363?

Greatest common factor (GCF) of 36351 and 36363 is 3.

GCF(36351,36363) = 3

We will now calculate the prime factors of 36351 and 36363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36351 and 36363.

How to find the GCF of 36351 and 36363?

We will first find the prime factorization of 36351 and 36363. After we will calculate the factors of 36351 and 36363 and find the biggest common factor number .

Step-1: Prime Factorization of 36351

Prime factors of 36351 are 3, 7, 577. Prime factorization of 36351 in exponential form is:

36351 = 3² × 7¹ × 577¹

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 36351

List of positive integer factors of 36351 that divides 36351 without a remainder.

1, 3, 7, 9, 21, 63, 577, 1731, 4039, 5193, 12117

Step-4: Factors of 36363

List of positive integer factors of 36363 that divides 36351 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 36351 and 36363. The biggest common factor number is the GCF number.
So the greatest common factor 36351 and 36363 is 3.

Also check out the Least Common Multiple of 36351 and 36363