What is the Greatest Common Factor of 52089 and 52099?

Greatest common factor (GCF) of 52089 and 52099 is 1.

GCF(52089,52099) = 1

We will now calculate the prime factors of 52089 and 52099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52089 and 52099.

How to find the GCF of 52089 and 52099?

We will first find the prime factorization of 52089 and 52099. After we will calculate the factors of 52089 and 52099 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 52099

Prime factors of 52099 are 53, 983. Prime factorization of 52099 in exponential form is:

52099 = 53¹ × 983¹

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 52099

List of positive integer factors of 52099 that divides 52089 without a remainder.

1, 53, 983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52089 and 52099. The biggest common factor number is the GCF number.
So the greatest common factor 52089 and 52099 is 1.

Also check out the Least Common Multiple of 52089 and 52099