What is the Greatest Common Factor of 57892 and 57909?

Greatest common factor (GCF) of 57892 and 57909 is 1.

GCF(57892,57909) = 1

We will now calculate the prime factors of 57892 and 57909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57892 and 57909.

How to find the GCF of 57892 and 57909?

We will first find the prime factorization of 57892 and 57909. After we will calculate the factors of 57892 and 57909 and find the biggest common factor number .

Step-1: Prime Factorization of 57892

Prime factors of 57892 are 2, 41, 353. Prime factorization of 57892 in exponential form is:

57892 = 2² × 41¹ × 353¹

Step-2: 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-3: Factors of 57892

List of positive integer factors of 57892 that divides 57892 without a remainder.

1, 2, 4, 41, 82, 164, 353, 706, 1412, 14473, 28946

Step-4: Factors of 57909

List of positive integer factors of 57909 that divides 57892 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57892 and 57909. The biggest common factor number is the GCF number.
So the greatest common factor 57892 and 57909 is 1.

Also check out the Least Common Multiple of 57892 and 57909