What is the Greatest Common Factor of 60114 and 60132?

Greatest common factor (GCF) of 60114 and 60132 is 6.

GCF(60114,60132) = 6

We will now calculate the prime factors of 60114 and 60132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60114 and 60132.

How to find the GCF of 60114 and 60132?

We will first find the prime factorization of 60114 and 60132. After we will calculate the factors of 60114 and 60132 and find the biggest common factor number .

Step-1: Prime Factorization of 60114

Prime factors of 60114 are 2, 3, 43, 233. Prime factorization of 60114 in exponential form is:

60114 = 2¹ × 3¹ × 43¹ × 233¹

Step-2: Prime Factorization of 60132

Prime factors of 60132 are 2, 3, 5011. Prime factorization of 60132 in exponential form is:

60132 = 2² × 3¹ × 5011¹

Step-3: Factors of 60114

List of positive integer factors of 60114 that divides 60114 without a remainder.

1, 2, 3, 6, 43, 86, 129, 233, 258, 466, 699, 1398, 10019, 20038, 30057

Step-4: Factors of 60132

List of positive integer factors of 60132 that divides 60114 without a remainder.

1, 2, 3, 4, 6, 12, 5011, 10022, 15033, 20044, 30066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60114 and 60132. The biggest common factor number is the GCF number.
So the greatest common factor 60114 and 60132 is 6.

Also check out the Least Common Multiple of 60114 and 60132