What is the Greatest Common Factor of 48824 and 48828?

Greatest common factor (GCF) of 48824 and 48828 is 4.

GCF(48824,48828) = 4

We will now calculate the prime factors of 48824 and 48828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48824 and 48828.

How to find the GCF of 48824 and 48828?

We will first find the prime factorization of 48824 and 48828. After we will calculate the factors of 48824 and 48828 and find the biggest common factor number .

Step-1: Prime Factorization of 48824

Prime factors of 48824 are 2, 17, 359. Prime factorization of 48824 in exponential form is:

48824 = 2³ × 17¹ × 359¹

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 48824

List of positive integer factors of 48824 that divides 48824 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 359, 718, 1436, 2872, 6103, 12206, 24412

Step-4: Factors of 48828

List of positive integer factors of 48828 that divides 48824 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 48824 and 48828. The biggest common factor number is the GCF number.
So the greatest common factor 48824 and 48828 is 4.

Also check out the Least Common Multiple of 48824 and 48828