What is the Greatest Common Factor of 57570 and 57589?

Greatest common factor (GCF) of 57570 and 57589 is 19.

GCF(57570,57589) = 19

We will now calculate the prime factors of 57570 and 57589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57570 and 57589.

How to find the GCF of 57570 and 57589?

We will first find the prime factorization of 57570 and 57589. After we will calculate the factors of 57570 and 57589 and find the biggest common factor number .

Step-1: Prime Factorization of 57570

Prime factors of 57570 are 2, 3, 5, 19, 101. Prime factorization of 57570 in exponential form is:

57570 = 2¹ × 3¹ × 5¹ × 19¹ × 101¹

Step-2: Prime Factorization of 57589

Prime factors of 57589 are 7, 19, 433. Prime factorization of 57589 in exponential form is:

57589 = 7¹ × 19¹ × 433¹

Step-3: Factors of 57570

List of positive integer factors of 57570 that divides 57570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 101, 114, 190, 202, 285, 303, 505, 570, 606, 1010, 1515, 1919, 3030, 3838, 5757, 9595, 11514, 19190, 28785

Step-4: Factors of 57589

List of positive integer factors of 57589 that divides 57570 without a remainder.

1, 7, 19, 133, 433, 3031, 8227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57570 and 57589. The biggest common factor number is the GCF number.
So the greatest common factor 57570 and 57589 is 19.

Also check out the Least Common Multiple of 57570 and 57589