What is the Greatest Common Factor of 48828 and 48840?

Greatest common factor (GCF) of 48828 and 48840 is 12.

GCF(48828,48840) = 12

We will now calculate the prime factors of 48828 and 48840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48828 and 48840.

How to find the GCF of 48828 and 48840?

We will first find the prime factorization of 48828 and 48840. After we will calculate the factors of 48828 and 48840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48840

Prime factors of 48840 are 2, 3, 5, 11, 37. Prime factorization of 48840 in exponential form is:

48840 = 2³ × 3¹ × 5¹ × 11¹ × 37¹

Step-3: Factors of 48828

List of positive integer factors of 48828 that divides 48828 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

Step-4: Factors of 48840

List of positive integer factors of 48840 that divides 48828 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 37, 40, 44, 55, 60, 66, 74, 88, 110, 111, 120, 132, 148, 165, 185, 220, 222, 264, 296, 330, 370, 407, 440, 444, 555, 660, 740, 814, 888, 1110, 1221, 1320, 1480, 1628, 2035, 2220, 2442, 3256, 4070, 4440, 4884, 6105, 8140, 9768, 12210, 16280, 24420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48828 and 48840. The biggest common factor number is the GCF number.
So the greatest common factor 48828 and 48840 is 12.

Also check out the Least Common Multiple of 48828 and 48840