What is the Greatest Common Factor of 52864 and 52882?

Greatest common factor (GCF) of 52864 and 52882 is 2.

GCF(52864,52882) = 2

We will now calculate the prime factors of 52864 and 52882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52864 and 52882.

How to find the GCF of 52864 and 52882?

We will first find the prime factorization of 52864 and 52882. After we will calculate the factors of 52864 and 52882 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 52882

Prime factors of 52882 are 2, 137, 193. Prime factorization of 52882 in exponential form is:

52882 = 2¹ × 137¹ × 193¹

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 52882

List of positive integer factors of 52882 that divides 52864 without a remainder.

1, 2, 137, 193, 274, 386, 26441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52864 and 52882. The biggest common factor number is the GCF number.
So the greatest common factor 52864 and 52882 is 2.

Also check out the Least Common Multiple of 52864 and 52882