What is the Greatest Common Factor of 36155 and 36174?

Greatest common factor (GCF) of 36155 and 36174 is 1.

GCF(36155,36174) = 1

We will now calculate the prime factors of 36155 and 36174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36155 and 36174.

How to find the GCF of 36155 and 36174?

We will first find the prime factorization of 36155 and 36174. After we will calculate the factors of 36155 and 36174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36174

Prime factors of 36174 are 2, 3, 6029. Prime factorization of 36174 in exponential form is:

36174 = 2¹ × 3¹ × 6029¹

Step-3: Factors of 36155

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

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

Step-4: Factors of 36174

List of positive integer factors of 36174 that divides 36155 without a remainder.

1, 2, 3, 6, 6029, 12058, 18087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36155 and 36174. The biggest common factor number is the GCF number.
So the greatest common factor 36155 and 36174 is 1.

Also check out the Least Common Multiple of 36155 and 36174