What is the Greatest Common Factor of 30060 and 30072?

Greatest common factor (GCF) of 30060 and 30072 is 12.

GCF(30060,30072) = 12

We will now calculate the prime factors of 30060 and 30072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30060 and 30072.

How to find the GCF of 30060 and 30072?

We will first find the prime factorization of 30060 and 30072. After we will calculate the factors of 30060 and 30072 and find the biggest common factor number .

Step-1: Prime Factorization of 30060

Prime factors of 30060 are 2, 3, 5, 167. Prime factorization of 30060 in exponential form is:

30060 = 2² × 3² × 5¹ × 167¹

Step-2: Prime Factorization of 30072

Prime factors of 30072 are 2, 3, 7, 179. Prime factorization of 30072 in exponential form is:

30072 = 2³ × 3¹ × 7¹ × 179¹

Step-3: Factors of 30060

List of positive integer factors of 30060 that divides 30060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 167, 180, 334, 501, 668, 835, 1002, 1503, 1670, 2004, 2505, 3006, 3340, 5010, 6012, 7515, 10020, 15030

Step-4: Factors of 30072

List of positive integer factors of 30072 that divides 30060 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 179, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 3759, 4296, 5012, 7518, 10024, 15036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30060 and 30072. The biggest common factor number is the GCF number.
So the greatest common factor 30060 and 30072 is 12.

Also check out the Least Common Multiple of 30060 and 30072