What is the Greatest Common Factor of 30864 and 30872?

Greatest common factor (GCF) of 30864 and 30872 is 8.

GCF(30864,30872) = 8

We will now calculate the prime factors of 30864 and 30872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30864 and 30872.

How to find the GCF of 30864 and 30872?

We will first find the prime factorization of 30864 and 30872. After we will calculate the factors of 30864 and 30872 and find the biggest common factor number .

Step-1: Prime Factorization of 30864

Prime factors of 30864 are 2, 3, 643. Prime factorization of 30864 in exponential form is:

30864 = 2⁴ × 3¹ × 643¹

Step-2: Prime Factorization of 30872

Prime factors of 30872 are 2, 17, 227. Prime factorization of 30872 in exponential form is:

30872 = 2³ × 17¹ × 227¹

Step-3: Factors of 30864

List of positive integer factors of 30864 that divides 30864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 643, 1286, 1929, 2572, 3858, 5144, 7716, 10288, 15432

Step-4: Factors of 30872

List of positive integer factors of 30872 that divides 30864 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 227, 454, 908, 1816, 3859, 7718, 15436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30864 and 30872. The biggest common factor number is the GCF number.
So the greatest common factor 30864 and 30872 is 8.

Also check out the Least Common Multiple of 30864 and 30872