What is the Greatest Common Factor of 30840 and 30848?

Greatest common factor (GCF) of 30840 and 30848 is 8.

GCF(30840,30848) = 8

We will now calculate the prime factors of 30840 and 30848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30840 and 30848.

How to find the GCF of 30840 and 30848?

We will first find the prime factorization of 30840 and 30848. After we will calculate the factors of 30840 and 30848 and find the biggest common factor number .

Step-1: Prime Factorization of 30840

Prime factors of 30840 are 2, 3, 5, 257. Prime factorization of 30840 in exponential form is:

30840 = 2³ × 3¹ × 5¹ × 257¹

Step-2: Prime Factorization of 30848

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

30848 = 2⁷ × 241¹

Step-3: Factors of 30840

List of positive integer factors of 30840 that divides 30840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 257, 514, 771, 1028, 1285, 1542, 2056, 2570, 3084, 3855, 5140, 6168, 7710, 10280, 15420

Step-4: Factors of 30848

List of positive integer factors of 30848 that divides 30840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30840 and 30848. The biggest common factor number is the GCF number.
So the greatest common factor 30840 and 30848 is 8.

Also check out the Least Common Multiple of 30840 and 30848