What is the Greatest Common Factor of 52824 and 52828?

Greatest common factor (GCF) of 52824 and 52828 is 4.

GCF(52824,52828) = 4

We will now calculate the prime factors of 52824 and 52828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52824 and 52828.

How to find the GCF of 52824 and 52828?

We will first find the prime factorization of 52824 and 52828. After we will calculate the factors of 52824 and 52828 and find the biggest common factor number .

Step-1: Prime Factorization of 52824

Prime factors of 52824 are 2, 3, 31, 71. Prime factorization of 52824 in exponential form is:

52824 = 2³ × 3¹ × 31¹ × 71¹

Step-2: Prime Factorization of 52828

Prime factors of 52828 are 2, 47, 281. Prime factorization of 52828 in exponential form is:

52828 = 2² × 47¹ × 281¹

Step-3: Factors of 52824

List of positive integer factors of 52824 that divides 52824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 71, 93, 124, 142, 186, 213, 248, 284, 372, 426, 568, 744, 852, 1704, 2201, 4402, 6603, 8804, 13206, 17608, 26412

Step-4: Factors of 52828

List of positive integer factors of 52828 that divides 52824 without a remainder.

1, 2, 4, 47, 94, 188, 281, 562, 1124, 13207, 26414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52824 and 52828. The biggest common factor number is the GCF number.
So the greatest common factor 52824 and 52828 is 4.

Also check out the Least Common Multiple of 52824 and 52828