What is the Greatest Common Factor of 48816 and 48830?

Greatest common factor (GCF) of 48816 and 48830 is 2.

GCF(48816,48830) = 2

We will now calculate the prime factors of 48816 and 48830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48816 and 48830.

How to find the GCF of 48816 and 48830?

We will first find the prime factorization of 48816 and 48830. After we will calculate the factors of 48816 and 48830 and find the biggest common factor number .

Step-1: Prime Factorization of 48816

Prime factors of 48816 are 2, 3, 113. Prime factorization of 48816 in exponential form is:

48816 = 2⁴ × 3³ × 113¹

Step-2: Prime Factorization of 48830

Prime factors of 48830 are 2, 5, 19, 257. Prime factorization of 48830 in exponential form is:

48830 = 2¹ × 5¹ × 19¹ × 257¹

Step-3: Factors of 48816

List of positive integer factors of 48816 that divides 48816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 113, 144, 216, 226, 339, 432, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3051, 4068, 5424, 6102, 8136, 12204, 16272, 24408

Step-4: Factors of 48830

List of positive integer factors of 48830 that divides 48816 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 257, 514, 1285, 2570, 4883, 9766, 24415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48816 and 48830. The biggest common factor number is the GCF number.
So the greatest common factor 48816 and 48830 is 2.

Also check out the Least Common Multiple of 48816 and 48830