What is the Greatest Common Factor of 30044 and 30055?

Greatest common factor (GCF) of 30044 and 30055 is 1.

GCF(30044,30055) = 1

We will now calculate the prime factors of 30044 and 30055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30044 and 30055.

How to find the GCF of 30044 and 30055?

We will first find the prime factorization of 30044 and 30055. After we will calculate the factors of 30044 and 30055 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 30055

Prime factors of 30055 are 5, 6011. Prime factorization of 30055 in exponential form is:

30055 = 5¹ × 6011¹

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 30055

List of positive integer factors of 30055 that divides 30044 without a remainder.

1, 5, 6011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30044 and 30055. The biggest common factor number is the GCF number.
So the greatest common factor 30044 and 30055 is 1.

Also check out the Least Common Multiple of 30044 and 30055