What is the Greatest Common Factor of 60165 and 60181?

Greatest common factor (GCF) of 60165 and 60181 is 1.

GCF(60165,60181) = 1

We will now calculate the prime factors of 60165 and 60181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60165 and 60181.

How to find the GCF of 60165 and 60181?

We will first find the prime factorization of 60165 and 60181. After we will calculate the factors of 60165 and 60181 and find the biggest common factor number .

Step-1: Prime Factorization of 60165

Prime factors of 60165 are 3, 5, 7, 191. Prime factorization of 60165 in exponential form is:

60165 = 3² × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 60181

Prime factors of 60181 are 11, 5471. Prime factorization of 60181 in exponential form is:

60181 = 11¹ × 5471¹

Step-3: Factors of 60165

List of positive integer factors of 60165 that divides 60165 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 191, 315, 573, 955, 1337, 1719, 2865, 4011, 6685, 8595, 12033, 20055

Step-4: Factors of 60181

List of positive integer factors of 60181 that divides 60165 without a remainder.

1, 11, 5471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60165 and 60181. The biggest common factor number is the GCF number.
So the greatest common factor 60165 and 60181 is 1.

Also check out the Least Common Multiple of 60165 and 60181