What is the Greatest Common Factor of 60156 and 60174?

Greatest common factor (GCF) of 60156 and 60174 is 18.

GCF(60156,60174) = 18

We will now calculate the prime factors of 60156 and 60174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60156 and 60174.

How to find the GCF of 60156 and 60174?

We will first find the prime factorization of 60156 and 60174. After we will calculate the factors of 60156 and 60174 and find the biggest common factor number .

Step-1: Prime Factorization of 60156

Prime factors of 60156 are 2, 3, 557. Prime factorization of 60156 in exponential form is:

60156 = 2² × 3³ × 557¹

Step-2: Prime Factorization of 60174

Prime factors of 60174 are 2, 3, 3343. Prime factorization of 60174 in exponential form is:

60174 = 2¹ × 3² × 3343¹

Step-3: Factors of 60156

List of positive integer factors of 60156 that divides 60156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 557, 1114, 1671, 2228, 3342, 5013, 6684, 10026, 15039, 20052, 30078

Step-4: Factors of 60174

List of positive integer factors of 60174 that divides 60156 without a remainder.

1, 2, 3, 6, 9, 18, 3343, 6686, 10029, 20058, 30087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60156 and 60174. The biggest common factor number is the GCF number.
So the greatest common factor 60156 and 60174 is 18.

Also check out the Least Common Multiple of 60156 and 60174