What is the Greatest Common Factor of 36285 and 36297?

Greatest common factor (GCF) of 36285 and 36297 is 3.

GCF(36285,36297) = 3

We will now calculate the prime factors of 36285 and 36297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36285 and 36297.

How to find the GCF of 36285 and 36297?

We will first find the prime factorization of 36285 and 36297. After we will calculate the factors of 36285 and 36297 and find the biggest common factor number .

Step-1: Prime Factorization of 36285

Prime factors of 36285 are 3, 5, 41, 59. Prime factorization of 36285 in exponential form is:

36285 = 3¹ × 5¹ × 41¹ × 59¹

Step-2: Prime Factorization of 36297

Prime factors of 36297 are 3, 37, 109. Prime factorization of 36297 in exponential form is:

36297 = 3² × 37¹ × 109¹

Step-3: Factors of 36285

List of positive integer factors of 36285 that divides 36285 without a remainder.

1, 3, 5, 15, 41, 59, 123, 177, 205, 295, 615, 885, 2419, 7257, 12095

Step-4: Factors of 36297

List of positive integer factors of 36297 that divides 36285 without a remainder.

1, 3, 9, 37, 109, 111, 327, 333, 981, 4033, 12099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36285 and 36297. The biggest common factor number is the GCF number.
So the greatest common factor 36285 and 36297 is 3.

Also check out the Least Common Multiple of 36285 and 36297