What is the Greatest Common Factor of 52864 and 52872?

Greatest common factor (GCF) of 52864 and 52872 is 8.

GCF(52864,52872) = 8

We will now calculate the prime factors of 52864 and 52872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52864 and 52872.

How to find the GCF of 52864 and 52872?

We will first find the prime factorization of 52864 and 52872. After we will calculate the factors of 52864 and 52872 and find the biggest common factor number .

Step-1: Prime Factorization of 52864

Prime factors of 52864 are 2, 7, 59. Prime factorization of 52864 in exponential form is:

52864 = 2⁷ × 7¹ × 59¹

Step-2: Prime Factorization of 52872

Prime factors of 52872 are 2, 3, 2203. Prime factorization of 52872 in exponential form is:

52872 = 2³ × 3¹ × 2203¹

Step-3: Factors of 52864

List of positive integer factors of 52864 that divides 52864 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 59, 64, 112, 118, 128, 224, 236, 413, 448, 472, 826, 896, 944, 1652, 1888, 3304, 3776, 6608, 7552, 13216, 26432

Step-4: Factors of 52872

List of positive integer factors of 52872 that divides 52864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2203, 4406, 6609, 8812, 13218, 17624, 26436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52864 and 52872. The biggest common factor number is the GCF number.
So the greatest common factor 52864 and 52872 is 8.

Also check out the Least Common Multiple of 52864 and 52872