What is the Greatest Common Factor of 30044 and 30049?

Greatest common factor (GCF) of 30044 and 30049 is 1.

GCF(30044,30049) = 1

We will now calculate the prime factors of 30044 and 30049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30044 and 30049.

How to find the GCF of 30044 and 30049?

We will first find the prime factorization of 30044 and 30049. After we will calculate the factors of 30044 and 30049 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 30049

Prime factors of 30049 are 151, 199. Prime factorization of 30049 in exponential form is:

30049 = 151¹ × 199¹

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 30049

List of positive integer factors of 30049 that divides 30044 without a remainder.

1, 151, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30044 and 30049. The biggest common factor number is the GCF number.
So the greatest common factor 30044 and 30049 is 1.

Also check out the Least Common Multiple of 30044 and 30049