What is the Greatest Common Factor of 60165 and 60177?

Greatest common factor (GCF) of 60165 and 60177 is 3.

GCF(60165,60177) = 3

We will now calculate the prime factors of 60165 and 60177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60165 and 60177.

How to find the GCF of 60165 and 60177?

We will first find the prime factorization of 60165 and 60177. After we will calculate the factors of 60165 and 60177 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 60177

Prime factors of 60177 are 3, 13, 1543. Prime factorization of 60177 in exponential form is:

60177 = 3¹ × 13¹ × 1543¹

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 60177

List of positive integer factors of 60177 that divides 60165 without a remainder.

1, 3, 13, 39, 1543, 4629, 20059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60165 and 60177. The biggest common factor number is the GCF number.
So the greatest common factor 60165 and 60177 is 3.

Also check out the Least Common Multiple of 60165 and 60177