What is the Greatest Common Factor of 30848 and 30868?

Greatest common factor (GCF) of 30848 and 30868 is 4.

GCF(30848,30868) = 4

We will now calculate the prime factors of 30848 and 30868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30848 and 30868.

How to find the GCF of 30848 and 30868?

We will first find the prime factorization of 30848 and 30868. After we will calculate the factors of 30848 and 30868 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 30868

Prime factors of 30868 are 2, 7717. Prime factorization of 30868 in exponential form is:

30868 = 2² × 7717¹

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 30868

List of positive integer factors of 30868 that divides 30848 without a remainder.

1, 2, 4, 7717, 15434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30848 and 30868. The biggest common factor number is the GCF number.
So the greatest common factor 30848 and 30868 is 4.

Also check out the Least Common Multiple of 30848 and 30868