What is the Greatest Common Factor of 30848 and 30862?

Greatest common factor (GCF) of 30848 and 30862 is 2.

GCF(30848,30862) = 2

We will now calculate the prime factors of 30848 and 30862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30848 and 30862.

How to find the GCF of 30848 and 30862?

We will first find the prime factorization of 30848 and 30862. After we will calculate the factors of 30848 and 30862 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 30862

Prime factors of 30862 are 2, 13, 1187. Prime factorization of 30862 in exponential form is:

30862 = 2¹ × 13¹ × 1187¹

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 30862

List of positive integer factors of 30862 that divides 30848 without a remainder.

1, 2, 13, 26, 1187, 2374, 15431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30848 and 30862. The biggest common factor number is the GCF number.
So the greatest common factor 30848 and 30862 is 2.

Also check out the Least Common Multiple of 30848 and 30862