What is the Greatest Common Factor of 30042 and 30054?

Greatest common factor (GCF) of 30042 and 30054 is 6.

GCF(30042,30054) = 6

We will now calculate the prime factors of 30042 and 30054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30042 and 30054.

How to find the GCF of 30042 and 30054?

We will first find the prime factorization of 30042 and 30054. After we will calculate the factors of 30042 and 30054 and find the biggest common factor number .

Step-1: Prime Factorization of 30042

Prime factors of 30042 are 2, 3, 1669. Prime factorization of 30042 in exponential form is:

30042 = 2¹ × 3² × 1669¹

Step-2: Prime Factorization of 30054

Prime factors of 30054 are 2, 3, 5009. Prime factorization of 30054 in exponential form is:

30054 = 2¹ × 3¹ × 5009¹

Step-3: Factors of 30042

List of positive integer factors of 30042 that divides 30042 without a remainder.

1, 2, 3, 6, 9, 18, 1669, 3338, 5007, 10014, 15021

Step-4: Factors of 30054

List of positive integer factors of 30054 that divides 30042 without a remainder.

1, 2, 3, 6, 5009, 10018, 15027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30042 and 30054. The biggest common factor number is the GCF number.
So the greatest common factor 30042 and 30054 is 6.

Also check out the Least Common Multiple of 30042 and 30054