What is the Greatest Common Factor of 57420 and 57439?

Greatest common factor (GCF) of 57420 and 57439 is 1.

GCF(57420,57439) = 1

We will now calculate the prime factors of 57420 and 57439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57420 and 57439.

How to find the GCF of 57420 and 57439?

We will first find the prime factorization of 57420 and 57439. After we will calculate the factors of 57420 and 57439 and find the biggest common factor number .

Step-1: Prime Factorization of 57420

Prime factors of 57420 are 2, 3, 5, 11, 29. Prime factorization of 57420 in exponential form is:

57420 = 2² × 3² × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 57439

Prime factors of 57439 are 71, 809. Prime factorization of 57439 in exponential form is:

57439 = 71¹ × 809¹

Step-3: Factors of 57420

List of positive integer factors of 57420 that divides 57420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 29, 30, 33, 36, 44, 45, 55, 58, 60, 66, 87, 90, 99, 110, 116, 132, 145, 165, 174, 180, 198, 220, 261, 290, 319, 330, 348, 396, 435, 495, 522, 580, 638, 660, 870, 957, 990, 1044, 1276, 1305, 1595, 1740, 1914, 1980, 2610, 2871, 3190, 3828, 4785, 5220, 5742, 6380, 9570, 11484, 14355, 19140, 28710

Step-4: Factors of 57439

List of positive integer factors of 57439 that divides 57420 without a remainder.

1, 71, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57420 and 57439. The biggest common factor number is the GCF number.
So the greatest common factor 57420 and 57439 is 1.

Also check out the Least Common Multiple of 57420 and 57439