What is the Greatest Common Factor of 36285 and 36294?

Greatest common factor (GCF) of 36285 and 36294 is 3.

GCF(36285,36294) = 3

We will now calculate the prime factors of 36285 and 36294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36285 and 36294.

How to find the GCF of 36285 and 36294?

We will first find the prime factorization of 36285 and 36294. After we will calculate the factors of 36285 and 36294 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 36294

Prime factors of 36294 are 2, 3, 23, 263. Prime factorization of 36294 in exponential form is:

36294 = 2¹ × 3¹ × 23¹ × 263¹

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 36294

List of positive integer factors of 36294 that divides 36285 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 263, 526, 789, 1578, 6049, 12098, 18147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36285 and 36294. The biggest common factor number is the GCF number.
So the greatest common factor 36285 and 36294 is 3.

Also check out the Least Common Multiple of 36285 and 36294