What is the Greatest Common Factor of 52816 and 52824?

Greatest common factor (GCF) of 52816 and 52824 is 8.

GCF(52816,52824) = 8

We will now calculate the prime factors of 52816 and 52824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52816 and 52824.

How to find the GCF of 52816 and 52824?

We will first find the prime factorization of 52816 and 52824. After we will calculate the factors of 52816 and 52824 and find the biggest common factor number .

Step-1: Prime Factorization of 52816

Prime factors of 52816 are 2, 3301. Prime factorization of 52816 in exponential form is:

52816 = 2⁴ × 3301¹

Step-2: 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-3: Factors of 52816

List of positive integer factors of 52816 that divides 52816 without a remainder.

1, 2, 4, 8, 16, 3301, 6602, 13204, 26408

Step-4: Factors of 52824

List of positive integer factors of 52824 that divides 52816 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52816 and 52824. The biggest common factor number is the GCF number.
So the greatest common factor 52816 and 52824 is 8.

Also check out the Least Common Multiple of 52816 and 52824