What is the Greatest Common Factor of 52089 and 52100?

Greatest common factor (GCF) of 52089 and 52100 is 1.

GCF(52089,52100) = 1

We will now calculate the prime factors of 52089 and 52100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52089 and 52100.

How to find the GCF of 52089 and 52100?

We will first find the prime factorization of 52089 and 52100. After we will calculate the factors of 52089 and 52100 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 52100

Prime factors of 52100 are 2, 5, 521. Prime factorization of 52100 in exponential form is:

52100 = 2² × 5² × 521¹

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 52100

List of positive integer factors of 52100 that divides 52089 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 521, 1042, 2084, 2605, 5210, 10420, 13025, 26050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52089 and 52100. The biggest common factor number is the GCF number.
So the greatest common factor 52089 and 52100 is 1.

Also check out the Least Common Multiple of 52089 and 52100