What is the Greatest Common Factor of 36285 and 36305?

Greatest common factor (GCF) of 36285 and 36305 is 5.

GCF(36285,36305) = 5

We will now calculate the prime factors of 36285 and 36305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36285 and 36305.

How to find the GCF of 36285 and 36305?

We will first find the prime factorization of 36285 and 36305. After we will calculate the factors of 36285 and 36305 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 36305

Prime factors of 36305 are 5, 53, 137. Prime factorization of 36305 in exponential form is:

36305 = 5¹ × 53¹ × 137¹

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 36305

List of positive integer factors of 36305 that divides 36285 without a remainder.

1, 5, 53, 137, 265, 685, 7261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36285 and 36305. The biggest common factor number is the GCF number.
So the greatest common factor 36285 and 36305 is 5.

Also check out the Least Common Multiple of 36285 and 36305