What is the Greatest Common Factor of 30044 and 30054?

Greatest common factor (GCF) of 30044 and 30054 is 2.

GCF(30044,30054) = 2

We will now calculate the prime factors of 30044 and 30054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30044 and 30054.

How to find the GCF of 30044 and 30054?

We will first find the prime factorization of 30044 and 30054. After we will calculate the factors of 30044 and 30054 and find the biggest common factor number .

Step-1: Prime Factorization of 30044

Prime factors of 30044 are 2, 7, 29, 37. Prime factorization of 30044 in exponential form is:

30044 = 2² × 7¹ × 29¹ × 37¹

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 30044

List of positive integer factors of 30044 that divides 30044 without a remainder.

1, 2, 4, 7, 14, 28, 29, 37, 58, 74, 116, 148, 203, 259, 406, 518, 812, 1036, 1073, 2146, 4292, 7511, 15022

Step-4: Factors of 30054

List of positive integer factors of 30054 that divides 30044 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30044 and 30054. The biggest common factor number is the GCF number.
So the greatest common factor 30044 and 30054 is 2.

Also check out the Least Common Multiple of 30044 and 30054