What is the Greatest Common Factor of 36135 and 36150?

Greatest common factor (GCF) of 36135 and 36150 is 15.

GCF(36135,36150) = 15

We will now calculate the prime factors of 36135 and 36150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36135 and 36150.

How to find the GCF of 36135 and 36150?

We will first find the prime factorization of 36135 and 36150. After we will calculate the factors of 36135 and 36150 and find the biggest common factor number .

Step-1: Prime Factorization of 36135

Prime factors of 36135 are 3, 5, 11, 73. Prime factorization of 36135 in exponential form is:

36135 = 3² × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 36150

Prime factors of 36150 are 2, 3, 5, 241. Prime factorization of 36150 in exponential form is:

36150 = 2¹ × 3¹ × 5² × 241¹

Step-3: Factors of 36135

List of positive integer factors of 36135 that divides 36135 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 73, 99, 165, 219, 365, 495, 657, 803, 1095, 2409, 3285, 4015, 7227, 12045

Step-4: Factors of 36150

List of positive integer factors of 36150 that divides 36135 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 241, 482, 723, 1205, 1446, 2410, 3615, 6025, 7230, 12050, 18075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36135 and 36150. The biggest common factor number is the GCF number.
So the greatest common factor 36135 and 36150 is 15.

Also check out the Least Common Multiple of 36135 and 36150