What is the Greatest Common Factor of 52839 and 52849?

Greatest common factor (GCF) of 52839 and 52849 is 1.

GCF(52839,52849) = 1

We will now calculate the prime factors of 52839 and 52849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52839 and 52849.

How to find the GCF of 52839 and 52849?

We will first find the prime factorization of 52839 and 52849. After we will calculate the factors of 52839 and 52849 and find the biggest common factor number .

Step-1: Prime Factorization of 52839

Prime factors of 52839 are 3, 19, 103. Prime factorization of 52839 in exponential form is:

52839 = 3³ × 19¹ × 103¹

Step-2: Prime Factorization of 52849

Prime factors of 52849 are 41, 1289. Prime factorization of 52849 in exponential form is:

52849 = 41¹ × 1289¹

Step-3: Factors of 52839

List of positive integer factors of 52839 that divides 52839 without a remainder.

1, 3, 9, 19, 27, 57, 103, 171, 309, 513, 927, 1957, 2781, 5871, 17613

Step-4: Factors of 52849

List of positive integer factors of 52849 that divides 52839 without a remainder.

1, 41, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52839 and 52849. The biggest common factor number is the GCF number.
So the greatest common factor 52839 and 52849 is 1.

Also check out the Least Common Multiple of 52839 and 52849