What is the Greatest Common Factor of 30512 and 30530?

Greatest common factor (GCF) of 30512 and 30530 is 2.

GCF(30512,30530) = 2

We will now calculate the prime factors of 30512 and 30530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30512 and 30530.

How to find the GCF of 30512 and 30530?

We will first find the prime factorization of 30512 and 30530. After we will calculate the factors of 30512 and 30530 and find the biggest common factor number .

Step-1: Prime Factorization of 30512

Prime factors of 30512 are 2, 1907. Prime factorization of 30512 in exponential form is:

30512 = 2⁴ × 1907¹

Step-2: Prime Factorization of 30530

Prime factors of 30530 are 2, 5, 43, 71. Prime factorization of 30530 in exponential form is:

30530 = 2¹ × 5¹ × 43¹ × 71¹

Step-3: Factors of 30512

List of positive integer factors of 30512 that divides 30512 without a remainder.

1, 2, 4, 8, 16, 1907, 3814, 7628, 15256

Step-4: Factors of 30530

List of positive integer factors of 30530 that divides 30512 without a remainder.

1, 2, 5, 10, 43, 71, 86, 142, 215, 355, 430, 710, 3053, 6106, 15265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30512 and 30530. The biggest common factor number is the GCF number.
So the greatest common factor 30512 and 30530 is 2.

Also check out the Least Common Multiple of 30512 and 30530