What is the Greatest Common Factor of 48816 and 48828?

Greatest common factor (GCF) of 48816 and 48828 is 12.

GCF(48816,48828) = 12

We will now calculate the prime factors of 48816 and 48828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48816 and 48828.

How to find the GCF of 48816 and 48828?

We will first find the prime factorization of 48816 and 48828. After we will calculate the factors of 48816 and 48828 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 48828

Prime factors of 48828 are 2, 3, 13, 313. Prime factorization of 48828 in exponential form is:

48828 = 2² × 3¹ × 13¹ × 313¹

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 48828

List of positive integer factors of 48828 that divides 48816 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 313, 626, 939, 1252, 1878, 3756, 4069, 8138, 12207, 16276, 24414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48816 and 48828. The biggest common factor number is the GCF number.
So the greatest common factor 48816 and 48828 is 12.

Also check out the Least Common Multiple of 48816 and 48828