What is the Greatest Common Factor of 60100 and 60114?

Greatest common factor (GCF) of 60100 and 60114 is 2.

GCF(60100,60114) = 2

We will now calculate the prime factors of 60100 and 60114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60100 and 60114.

How to find the GCF of 60100 and 60114?

We will first find the prime factorization of 60100 and 60114. After we will calculate the factors of 60100 and 60114 and find the biggest common factor number .

Step-1: Prime Factorization of 60100

Prime factors of 60100 are 2, 5, 601. Prime factorization of 60100 in exponential form is:

60100 = 2² × 5² × 601¹

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 60100

List of positive integer factors of 60100 that divides 60100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 601, 1202, 2404, 3005, 6010, 12020, 15025, 30050

Step-4: Factors of 60114

List of positive integer factors of 60114 that divides 60100 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 60100 and 60114. The biggest common factor number is the GCF number.
So the greatest common factor 60100 and 60114 is 2.

Also check out the Least Common Multiple of 60100 and 60114