What is the Greatest Common Factor of 48816 and 48832?

Greatest common factor (GCF) of 48816 and 48832 is 16.

GCF(48816,48832) = 16

We will now calculate the prime factors of 48816 and 48832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48816 and 48832.

How to find the GCF of 48816 and 48832?

We will first find the prime factorization of 48816 and 48832. After we will calculate the factors of 48816 and 48832 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 48832

Prime factors of 48832 are 2, 7, 109. Prime factorization of 48832 in exponential form is:

48832 = 2⁶ × 7¹ × 109¹

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 48832

List of positive integer factors of 48832 that divides 48816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 109, 112, 218, 224, 436, 448, 763, 872, 1526, 1744, 3052, 3488, 6104, 6976, 12208, 24416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48816 and 48832. The biggest common factor number is the GCF number.
So the greatest common factor 48816 and 48832 is 16.

Also check out the Least Common Multiple of 48816 and 48832