What is the Greatest Common Factor of 30004 and 30010?

Greatest common factor (GCF) of 30004 and 30010 is 2.

GCF(30004,30010) = 2

We will now calculate the prime factors of 30004 and 30010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30004 and 30010.

How to find the GCF of 30004 and 30010?

We will first find the prime factorization of 30004 and 30010. After we will calculate the factors of 30004 and 30010 and find the biggest common factor number .

Step-1: Prime Factorization of 30004

Prime factors of 30004 are 2, 13, 577. Prime factorization of 30004 in exponential form is:

30004 = 2² × 13¹ × 577¹

Step-2: Prime Factorization of 30010

Prime factors of 30010 are 2, 5, 3001. Prime factorization of 30010 in exponential form is:

30010 = 2¹ × 5¹ × 3001¹

Step-3: Factors of 30004

List of positive integer factors of 30004 that divides 30004 without a remainder.

1, 2, 4, 13, 26, 52, 577, 1154, 2308, 7501, 15002

Step-4: Factors of 30010

List of positive integer factors of 30010 that divides 30004 without a remainder.

1, 2, 5, 10, 3001, 6002, 15005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30004 and 30010. The biggest common factor number is the GCF number.
So the greatest common factor 30004 and 30010 is 2.

Also check out the Least Common Multiple of 30004 and 30010