What is the Greatest Common Factor of 57805 and 57821?

Greatest common factor (GCF) of 57805 and 57821 is 1.

GCF(57805,57821) = 1

We will now calculate the prime factors of 57805 and 57821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57805 and 57821.

How to find the GCF of 57805 and 57821?

We will first find the prime factorization of 57805 and 57821. After we will calculate the factors of 57805 and 57821 and find the biggest common factor number .

Step-1: Prime Factorization of 57805

Prime factors of 57805 are 5, 11, 1051. Prime factorization of 57805 in exponential form is:

57805 = 5¹ × 11¹ × 1051¹

Step-2: Prime Factorization of 57821

Prime factors of 57821 are 67, 863. Prime factorization of 57821 in exponential form is:

57821 = 67¹ × 863¹

Step-3: Factors of 57805

List of positive integer factors of 57805 that divides 57805 without a remainder.

1, 5, 11, 55, 1051, 5255, 11561

Step-4: Factors of 57821

List of positive integer factors of 57821 that divides 57805 without a remainder.

1, 67, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57805 and 57821. The biggest common factor number is the GCF number.
So the greatest common factor 57805 and 57821 is 1.

Also check out the Least Common Multiple of 57805 and 57821