What is the Greatest Common Factor of 30054 and 30069?

Greatest common factor (GCF) of 30054 and 30069 is 3.

GCF(30054,30069) = 3

We will now calculate the prime factors of 30054 and 30069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30054 and 30069.

How to find the GCF of 30054 and 30069?

We will first find the prime factorization of 30054 and 30069. After we will calculate the factors of 30054 and 30069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30069

Prime factors of 30069 are 3, 13, 257. Prime factorization of 30069 in exponential form is:

30069 = 3² × 13¹ × 257¹

Step-3: Factors of 30054

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

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

Step-4: Factors of 30069

List of positive integer factors of 30069 that divides 30054 without a remainder.

1, 3, 9, 13, 39, 117, 257, 771, 2313, 3341, 10023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30054 and 30069. The biggest common factor number is the GCF number.
So the greatest common factor 30054 and 30069 is 3.

Also check out the Least Common Multiple of 30054 and 30069