What is the Greatest Common Factor of 30030 and 30045?

Greatest common factor (GCF) of 30030 and 30045 is 15.

GCF(30030,30045) = 15

We will now calculate the prime factors of 30030 and 30045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30030 and 30045.

How to find the GCF of 30030 and 30045?

We will first find the prime factorization of 30030 and 30045. After we will calculate the factors of 30030 and 30045 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 30045

Prime factors of 30045 are 3, 5, 2003. Prime factorization of 30045 in exponential form is:

30045 = 3¹ × 5¹ × 2003¹

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 30045

List of positive integer factors of 30045 that divides 30030 without a remainder.

1, 3, 5, 15, 2003, 6009, 10015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30030 and 30045. The biggest common factor number is the GCF number.
So the greatest common factor 30030 and 30045 is 15.

Also check out the Least Common Multiple of 30030 and 30045