What is the Greatest Common Factor of 30030 and 30044?

Greatest common factor (GCF) of 30030 and 30044 is 14.

GCF(30030,30044) = 14

We will now calculate the prime factors of 30030 and 30044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30030 and 30044.

How to find the GCF of 30030 and 30044?

We will first find the prime factorization of 30030 and 30044. After we will calculate the factors of 30030 and 30044 and find the biggest common factor number .

Step-1: Prime Factorization of 30030

Prime factors of 30030 are 2, 3, 5, 7, 11, 13. Prime factorization of 30030 in exponential form is:

30030 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: 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-3: Factors of 30030

List of positive integer factors of 30030 that divides 30030 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 21, 22, 26, 30, 33, 35, 39, 42, 55, 65, 66, 70, 77, 78, 91, 105, 110, 130, 143, 154, 165, 182, 195, 210, 231, 273, 286, 330, 385, 390, 429, 455, 462, 546, 715, 770, 858, 910, 1001, 1155, 1365, 1430, 2002, 2145, 2310, 2730, 3003, 4290, 5005, 6006, 10010, 15015

Step-4: Factors of 30044

List of positive integer factors of 30044 that divides 30030 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30030 and 30044. The biggest common factor number is the GCF number.
So the greatest common factor 30030 and 30044 is 14.

Also check out the Least Common Multiple of 30030 and 30044