What is the Greatest Common Factor of 52089 and 52093?

Greatest common factor (GCF) of 52089 and 52093 is 1.

GCF(52089,52093) = 1

We will now calculate the prime factors of 52089 and 52093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52089 and 52093.

How to find the GCF of 52089 and 52093?

We will first find the prime factorization of 52089 and 52093. After we will calculate the factors of 52089 and 52093 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52093

Prime factors of 52093 are 113, 461. Prime factorization of 52093 in exponential form is:

52093 = 113¹ × 461¹

Step-3: Factors of 52089

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

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

Step-4: Factors of 52093

List of positive integer factors of 52093 that divides 52089 without a remainder.

1, 113, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52089 and 52093. The biggest common factor number is the GCF number.
So the greatest common factor 52089 and 52093 is 1.

Also check out the Least Common Multiple of 52089 and 52093