What is the Greatest Common Factor of 30044 and 30048?

Greatest common factor (GCF) of 30044 and 30048 is 4.

GCF(30044,30048) = 4

We will now calculate the prime factors of 30044 and 30048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30044 and 30048.

How to find the GCF of 30044 and 30048?

We will first find the prime factorization of 30044 and 30048. After we will calculate the factors of 30044 and 30048 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 30048

Prime factors of 30048 are 2, 3, 313. Prime factorization of 30048 in exponential form is:

30048 = 2⁵ × 3¹ × 313¹

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 30048

List of positive integer factors of 30048 that divides 30044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30044 and 30048. The biggest common factor number is the GCF number.
So the greatest common factor 30044 and 30048 is 4.

Also check out the Least Common Multiple of 30044 and 30048