What is the Greatest Common Factor of 57420 and 57438?

Greatest common factor (GCF) of 57420 and 57438 is 18.

GCF(57420,57438) = 18

We will now calculate the prime factors of 57420 and 57438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57420 and 57438.

How to find the GCF of 57420 and 57438?

We will first find the prime factorization of 57420 and 57438. After we will calculate the factors of 57420 and 57438 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 57438

Prime factors of 57438 are 2, 3, 3191. Prime factorization of 57438 in exponential form is:

57438 = 2¹ × 3² × 3191¹

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 57438

List of positive integer factors of 57438 that divides 57420 without a remainder.

1, 2, 3, 6, 9, 18, 3191, 6382, 9573, 19146, 28719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57420 and 57438. The biggest common factor number is the GCF number.
So the greatest common factor 57420 and 57438 is 18.

Also check out the Least Common Multiple of 57420 and 57438