What is the Greatest Common Factor of 60042 and 60054?

Greatest common factor (GCF) of 60042 and 60054 is 6.

GCF(60042,60054) = 6

We will now calculate the prime factors of 60042 and 60054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60042 and 60054.

How to find the GCF of 60042 and 60054?

We will first find the prime factorization of 60042 and 60054. After we will calculate the factors of 60042 and 60054 and find the biggest common factor number .

Step-1: Prime Factorization of 60042

Prime factors of 60042 are 2, 3, 10007. Prime factorization of 60042 in exponential form is:

60042 = 2¹ × 3¹ × 10007¹

Step-2: Prime Factorization of 60054

Prime factors of 60054 are 2, 3, 10009. Prime factorization of 60054 in exponential form is:

60054 = 2¹ × 3¹ × 10009¹

Step-3: Factors of 60042

List of positive integer factors of 60042 that divides 60042 without a remainder.

1, 2, 3, 6, 10007, 20014, 30021

Step-4: Factors of 60054

List of positive integer factors of 60054 that divides 60042 without a remainder.

1, 2, 3, 6, 10009, 20018, 30027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60042 and 60054. The biggest common factor number is the GCF number.
So the greatest common factor 60042 and 60054 is 6.

Also check out the Least Common Multiple of 60042 and 60054