What is the Greatest Common Factor of 52053 and 52059?

Greatest common factor (GCF) of 52053 and 52059 is 3.

GCF(52053,52059) = 3

We will now calculate the prime factors of 52053 and 52059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52053 and 52059.

How to find the GCF of 52053 and 52059?

We will first find the prime factorization of 52053 and 52059. After we will calculate the factors of 52053 and 52059 and find the biggest common factor number .

Step-1: Prime Factorization of 52053

Prime factors of 52053 are 3, 17351. Prime factorization of 52053 in exponential form is:

52053 = 3¹ × 17351¹

Step-2: 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-3: Factors of 52053

List of positive integer factors of 52053 that divides 52053 without a remainder.

1, 3, 17351

Step-4: Factors of 52059

List of positive integer factors of 52059 that divides 52053 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52053 and 52059. The biggest common factor number is the GCF number.
So the greatest common factor 52053 and 52059 is 3.

Also check out the Least Common Multiple of 52053 and 52059