What is the Greatest Common Factor of 52083 and 52089?

Greatest common factor (GCF) of 52083 and 52089 is 3.

GCF(52083,52089) = 3

We will now calculate the prime factors of 52083 and 52089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52083 and 52089.

How to find the GCF of 52083 and 52089?

We will first find the prime factorization of 52083 and 52089. After we will calculate the factors of 52083 and 52089 and find the biggest common factor number .

Step-1: Prime Factorization of 52083

Prime factors of 52083 are 3, 643. Prime factorization of 52083 in exponential form is:

52083 = 3⁴ × 643¹

Step-2: Prime Factorization of 52089

Prime factors of 52089 are 3, 97, 179. Prime factorization of 52089 in exponential form is:

52089 = 3¹ × 97¹ × 179¹

Step-3: Factors of 52083

List of positive integer factors of 52083 that divides 52083 without a remainder.

1, 3, 9, 27, 81, 643, 1929, 5787, 17361

Step-4: Factors of 52089

List of positive integer factors of 52089 that divides 52083 without a remainder.

1, 3, 97, 179, 291, 537, 17363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52083 and 52089. The biggest common factor number is the GCF number.
So the greatest common factor 52083 and 52089 is 3.

Also check out the Least Common Multiple of 52083 and 52089