What is the Greatest Common Factor of 52059 and 52071?

Greatest common factor (GCF) of 52059 and 52071 is 3.

GCF(52059,52071) = 3

We will now calculate the prime factors of 52059 and 52071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52059 and 52071.

How to find the GCF of 52059 and 52071?

We will first find the prime factorization of 52059 and 52071. After we will calculate the factors of 52059 and 52071 and find the biggest common factor number .

Step-1: Prime Factorization of 52059

Prime factors of 52059 are 3, 7, 37, 67. Prime factorization of 52059 in exponential form is:

52059 = 3¹ × 7¹ × 37¹ × 67¹

Step-2: Prime Factorization of 52071

Prime factors of 52071 are 3, 17, 1021. Prime factorization of 52071 in exponential form is:

52071 = 3¹ × 17¹ × 1021¹

Step-3: Factors of 52059

List of positive integer factors of 52059 that divides 52059 without a remainder.

1, 3, 7, 21, 37, 67, 111, 201, 259, 469, 777, 1407, 2479, 7437, 17353

Step-4: Factors of 52071

List of positive integer factors of 52071 that divides 52059 without a remainder.

1, 3, 17, 51, 1021, 3063, 17357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52059 and 52071. The biggest common factor number is the GCF number.
So the greatest common factor 52059 and 52071 is 3.

Also check out the Least Common Multiple of 52059 and 52071