What is the Greatest Common Factor of 57909 and 57913?

Greatest common factor (GCF) of 57909 and 57913 is 1.

GCF(57909,57913) = 1

We will now calculate the prime factors of 57909 and 57913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57909 and 57913.

How to find the GCF of 57909 and 57913?

We will first find the prime factorization of 57909 and 57913. After we will calculate the factors of 57909 and 57913 and find the biggest common factor number .

Step-1: Prime Factorization of 57909

Prime factors of 57909 are 3, 97, 199. Prime factorization of 57909 in exponential form is:

57909 = 3¹ × 97¹ × 199¹

Step-2: Prime Factorization of 57913

Prime factors of 57913 are 29, 1997. Prime factorization of 57913 in exponential form is:

57913 = 29¹ × 1997¹

Step-3: Factors of 57909

List of positive integer factors of 57909 that divides 57909 without a remainder.

1, 3, 97, 199, 291, 597, 19303

Step-4: Factors of 57913

List of positive integer factors of 57913 that divides 57909 without a remainder.

1, 29, 1997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57909 and 57913. The biggest common factor number is the GCF number.
So the greatest common factor 57909 and 57913 is 1.

Also check out the Least Common Multiple of 57909 and 57913