What is the Greatest Common Factor of 60110 and 60114?

Greatest common factor (GCF) of 60110 and 60114 is 2.

GCF(60110,60114) = 2

We will now calculate the prime factors of 60110 and 60114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60110 and 60114.

How to find the GCF of 60110 and 60114?

We will first find the prime factorization of 60110 and 60114. After we will calculate the factors of 60110 and 60114 and find the biggest common factor number .

Step-1: Prime Factorization of 60110

Prime factors of 60110 are 2, 5, 6011. Prime factorization of 60110 in exponential form is:

60110 = 2¹ × 5¹ × 6011¹

Step-2: 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-3: Factors of 60110

List of positive integer factors of 60110 that divides 60110 without a remainder.

1, 2, 5, 10, 6011, 12022, 30055

Step-4: Factors of 60114

List of positive integer factors of 60114 that divides 60110 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60110 and 60114. The biggest common factor number is the GCF number.
So the greatest common factor 60110 and 60114 is 2.

Also check out the Least Common Multiple of 60110 and 60114