What is the Greatest Common Factor of 30030 and 30034?

Greatest common factor (GCF) of 30030 and 30034 is 2.

GCF(30030,30034) = 2

We will now calculate the prime factors of 30030 and 30034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30030 and 30034.

How to find the GCF of 30030 and 30034?

We will first find the prime factorization of 30030 and 30034. After we will calculate the factors of 30030 and 30034 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 30034

Prime factors of 30034 are 2, 15017. Prime factorization of 30034 in exponential form is:

30034 = 2¹ × 15017¹

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 30034

List of positive integer factors of 30034 that divides 30030 without a remainder.

1, 2, 15017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30030 and 30034. The biggest common factor number is the GCF number.
So the greatest common factor 30030 and 30034 is 2.

Also check out the Least Common Multiple of 30030 and 30034