What is the Greatest Common Factor of 36285 and 36290?

Greatest common factor (GCF) of 36285 and 36290 is 5.

GCF(36285,36290) = 5

We will now calculate the prime factors of 36285 and 36290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36285 and 36290.

How to find the GCF of 36285 and 36290?

We will first find the prime factorization of 36285 and 36290. After we will calculate the factors of 36285 and 36290 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 36290

Prime factors of 36290 are 2, 5, 19, 191. Prime factorization of 36290 in exponential form is:

36290 = 2¹ × 5¹ × 19¹ × 191¹

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 36290

List of positive integer factors of 36290 that divides 36285 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 191, 382, 955, 1910, 3629, 7258, 18145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36285 and 36290. The biggest common factor number is the GCF number.
So the greatest common factor 36285 and 36290 is 5.

Also check out the Least Common Multiple of 36285 and 36290