What is the Greatest Common Factor of 30504 and 30516?

Greatest common factor (GCF) of 30504 and 30516 is 12.

GCF(30504,30516) = 12

We will now calculate the prime factors of 30504 and 30516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30504 and 30516.

How to find the GCF of 30504 and 30516?

We will first find the prime factorization of 30504 and 30516. After we will calculate the factors of 30504 and 30516 and find the biggest common factor number .

Step-1: Prime Factorization of 30504

Prime factors of 30504 are 2, 3, 31, 41. Prime factorization of 30504 in exponential form is:

30504 = 2³ × 3¹ × 31¹ × 41¹

Step-2: Prime Factorization of 30516

Prime factors of 30516 are 2, 3, 2543. Prime factorization of 30516 in exponential form is:

30516 = 2² × 3¹ × 2543¹

Step-3: Factors of 30504

List of positive integer factors of 30504 that divides 30504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 248, 328, 372, 492, 744, 984, 1271, 2542, 3813, 5084, 7626, 10168, 15252

Step-4: Factors of 30516

List of positive integer factors of 30516 that divides 30504 without a remainder.

1, 2, 3, 4, 6, 12, 2543, 5086, 7629, 10172, 15258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30504 and 30516. The biggest common factor number is the GCF number.
So the greatest common factor 30504 and 30516 is 12.

Also check out the Least Common Multiple of 30504 and 30516