What is the Greatest Common Factor of 52864 and 52869?

Greatest common factor (GCF) of 52864 and 52869 is 1.

GCF(52864,52869) = 1

We will now calculate the prime factors of 52864 and 52869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52864 and 52869.

How to find the GCF of 52864 and 52869?

We will first find the prime factorization of 52864 and 52869. After we will calculate the factors of 52864 and 52869 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 52869

Prime factors of 52869 are 3, 17623. Prime factorization of 52869 in exponential form is:

52869 = 3¹ × 17623¹

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 52869

List of positive integer factors of 52869 that divides 52864 without a remainder.

1, 3, 17623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52864 and 52869. The biggest common factor number is the GCF number.
So the greatest common factor 52864 and 52869 is 1.

Also check out the Least Common Multiple of 52864 and 52869