What is the Greatest Common Factor of 30848 and 30864?

Greatest common factor (GCF) of 30848 and 30864 is 16.

GCF(30848,30864) = 16

We will now calculate the prime factors of 30848 and 30864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30848 and 30864.

How to find the GCF of 30848 and 30864?

We will first find the prime factorization of 30848 and 30864. After we will calculate the factors of 30848 and 30864 and find the biggest common factor number .

Step-1: Prime Factorization of 30848

Prime factors of 30848 are 2, 241. Prime factorization of 30848 in exponential form is:

30848 = 2⁷ × 241¹

Step-2: 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-3: Factors of 30848

List of positive integer factors of 30848 that divides 30848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 241, 482, 964, 1928, 3856, 7712, 15424

Step-4: Factors of 30864

List of positive integer factors of 30864 that divides 30848 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30848 and 30864. The biggest common factor number is the GCF number.
So the greatest common factor 30848 and 30864 is 16.

Also check out the Least Common Multiple of 30848 and 30864