What is the Greatest Common Factor of 36150 and 36155?

Greatest common factor (GCF) of 36150 and 36155 is 5.

GCF(36150,36155) = 5

We will now calculate the prime factors of 36150 and 36155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36150 and 36155.

How to find the GCF of 36150 and 36155?

We will first find the prime factorization of 36150 and 36155. After we will calculate the factors of 36150 and 36155 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36155

Prime factors of 36155 are 5, 7, 1033. Prime factorization of 36155 in exponential form is:

36155 = 5¹ × 7¹ × 1033¹

Step-3: Factors of 36150

List of positive integer factors of 36150 that divides 36150 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

Step-4: Factors of 36155

List of positive integer factors of 36155 that divides 36150 without a remainder.

1, 5, 7, 35, 1033, 5165, 7231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36150 and 36155. The biggest common factor number is the GCF number.
So the greatest common factor 36150 and 36155 is 5.

Also check out the Least Common Multiple of 36150 and 36155