What is the Greatest Common Factor of 10824 and 10828?

Greatest common factor (GCF) of 10824 and 10828 is 4.

GCF(10824,10828) = 4

We will now calculate the prime factors of 10824 and 10828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10824 and 10828.

How to find the GCF of 10824 and 10828?

We will first find the prime factorization of 10824 and 10828. After we will calculate the factors of 10824 and 10828 and find the biggest common factor number .

Step-1: Prime Factorization of 10824

Prime factors of 10824 are 2, 3, 11, 41. Prime factorization of 10824 in exponential form is:

10824 = 2³ × 3¹ × 11¹ × 41¹

Step-2: Prime Factorization of 10828

Prime factors of 10828 are 2, 2707. Prime factorization of 10828 in exponential form is:

10828 = 2² × 2707¹

Step-3: Factors of 10824

List of positive integer factors of 10824 that divides 10824 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 41, 44, 66, 82, 88, 123, 132, 164, 246, 264, 328, 451, 492, 902, 984, 1353, 1804, 2706, 3608, 5412

Step-4: Factors of 10828

List of positive integer factors of 10828 that divides 10824 without a remainder.

1, 2, 4, 2707, 5414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10824 and 10828. The biggest common factor number is the GCF number.
So the greatest common factor 10824 and 10828 is 4.

Also check out the Least Common Multiple of 10824 and 10828