What is the Greatest Common Factor of 36075 and 36084?

Greatest common factor (GCF) of 36075 and 36084 is 3.

GCF(36075,36084) = 3

We will now calculate the prime factors of 36075 and 36084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36075 and 36084.

How to find the GCF of 36075 and 36084?

We will first find the prime factorization of 36075 and 36084. After we will calculate the factors of 36075 and 36084 and find the biggest common factor number .

Step-1: Prime Factorization of 36075

Prime factors of 36075 are 3, 5, 13, 37. Prime factorization of 36075 in exponential form is:

36075 = 3¹ × 5² × 13¹ × 37¹

Step-2: Prime Factorization of 36084

Prime factors of 36084 are 2, 3, 31, 97. Prime factorization of 36084 in exponential form is:

36084 = 2² × 3¹ × 31¹ × 97¹

Step-3: Factors of 36075

List of positive integer factors of 36075 that divides 36075 without a remainder.

1, 3, 5, 13, 15, 25, 37, 39, 65, 75, 111, 185, 195, 325, 481, 555, 925, 975, 1443, 2405, 2775, 7215, 12025

Step-4: Factors of 36084

List of positive integer factors of 36084 that divides 36075 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 97, 124, 186, 194, 291, 372, 388, 582, 1164, 3007, 6014, 9021, 12028, 18042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36075 and 36084. The biggest common factor number is the GCF number.
So the greatest common factor 36075 and 36084 is 3.

Also check out the Least Common Multiple of 36075 and 36084