What is the Greatest Common Factor of 52854 and 52864?

Greatest common factor (GCF) of 52854 and 52864 is 2.

GCF(52854,52864) = 2

We will now calculate the prime factors of 52854 and 52864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52854 and 52864.

How to find the GCF of 52854 and 52864?

We will first find the prime factorization of 52854 and 52864. After we will calculate the factors of 52854 and 52864 and find the biggest common factor number .

Step-1: Prime Factorization of 52854

Prime factors of 52854 are 2, 3, 23, 383. Prime factorization of 52854 in exponential form is:

52854 = 2¹ × 3¹ × 23¹ × 383¹

Step-2: 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-3: Factors of 52854

List of positive integer factors of 52854 that divides 52854 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 383, 766, 1149, 2298, 8809, 17618, 26427

Step-4: Factors of 52864

List of positive integer factors of 52864 that divides 52854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52854 and 52864. The biggest common factor number is the GCF number.
So the greatest common factor 52854 and 52864 is 2.

Also check out the Least Common Multiple of 52854 and 52864