What is the Greatest Common Factor of 30034 and 30054?

Greatest common factor (GCF) of 30034 and 30054 is 2.

GCF(30034,30054) = 2

We will now calculate the prime factors of 30034 and 30054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30034 and 30054.

How to find the GCF of 30034 and 30054?

We will first find the prime factorization of 30034 and 30054. After we will calculate the factors of 30034 and 30054 and find the biggest common factor number .

Step-1: Prime Factorization of 30034

Prime factors of 30034 are 2, 15017. Prime factorization of 30034 in exponential form is:

30034 = 2¹ × 15017¹

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 30034

List of positive integer factors of 30034 that divides 30034 without a remainder.

1, 2, 15017

Step-4: Factors of 30054

List of positive integer factors of 30054 that divides 30034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30034 and 30054. The biggest common factor number is the GCF number.
So the greatest common factor 30034 and 30054 is 2.

Also check out the Least Common Multiple of 30034 and 30054