What is the Greatest Common Factor of 57829 and 57845?

Greatest common factor (GCF) of 57829 and 57845 is 1.

GCF(57829,57845) = 1

We will now calculate the prime factors of 57829 and 57845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57829 and 57845.

How to find the GCF of 57829 and 57845?

We will first find the prime factorization of 57829 and 57845. After we will calculate the factors of 57829 and 57845 and find the biggest common factor number .

Step-1: Prime Factorization of 57829

Prime factors of 57829 are 57829. Prime factorization of 57829 in exponential form is:

57829 = 57829¹

Step-2: Prime Factorization of 57845

Prime factors of 57845 are 5, 23, 503. Prime factorization of 57845 in exponential form is:

57845 = 5¹ × 23¹ × 503¹

Step-3: Factors of 57829

List of positive integer factors of 57829 that divides 57829 without a remainder.

Step-4: Factors of 57845

List of positive integer factors of 57845 that divides 57829 without a remainder.

1, 5, 23, 115, 503, 2515, 11569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57829 and 57845. The biggest common factor number is the GCF number.
So the greatest common factor 57829 and 57845 is 1.

Also check out the Least Common Multiple of 57829 and 57845