What is the Greatest Common Factor of 60114 and 60126?

Greatest common factor (GCF) of 60114 and 60126 is 6.

GCF(60114,60126) = 6

We will now calculate the prime factors of 60114 and 60126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60114 and 60126.

How to find the GCF of 60114 and 60126?

We will first find the prime factorization of 60114 and 60126. After we will calculate the factors of 60114 and 60126 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 60126

Prime factors of 60126 are 2, 3, 11, 911. Prime factorization of 60126 in exponential form is:

60126 = 2¹ × 3¹ × 11¹ × 911¹

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 60126

List of positive integer factors of 60126 that divides 60114 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 911, 1822, 2733, 5466, 10021, 20042, 30063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60114 and 60126. The biggest common factor number is the GCF number.
So the greatest common factor 60114 and 60126 is 6.

Also check out the Least Common Multiple of 60114 and 60126