What is the Greatest Common Factor of 30060 and 30070?

Greatest common factor (GCF) of 30060 and 30070 is 10.

GCF(30060,30070) = 10

We will now calculate the prime factors of 30060 and 30070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30060 and 30070.

How to find the GCF of 30060 and 30070?

We will first find the prime factorization of 30060 and 30070. After we will calculate the factors of 30060 and 30070 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 30070

Prime factors of 30070 are 2, 5, 31, 97. Prime factorization of 30070 in exponential form is:

30070 = 2¹ × 5¹ × 31¹ × 97¹

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 30070

List of positive integer factors of 30070 that divides 30060 without a remainder.

1, 2, 5, 10, 31, 62, 97, 155, 194, 310, 485, 970, 3007, 6014, 15035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30060 and 30070. The biggest common factor number is the GCF number.
So the greatest common factor 30060 and 30070 is 10.

Also check out the Least Common Multiple of 30060 and 30070