What is the Greatest Common Factor of 57420 and 57428?

Greatest common factor (GCF) of 57420 and 57428 is 4.

GCF(57420,57428) = 4

We will now calculate the prime factors of 57420 and 57428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57420 and 57428.

How to find the GCF of 57420 and 57428?

We will first find the prime factorization of 57420 and 57428. After we will calculate the factors of 57420 and 57428 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 57428

Prime factors of 57428 are 2, 7, 293. Prime factorization of 57428 in exponential form is:

57428 = 2² × 7² × 293¹

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 57428

List of positive integer factors of 57428 that divides 57420 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 293, 586, 1172, 2051, 4102, 8204, 14357, 28714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57420 and 57428. The biggest common factor number is the GCF number.
So the greatest common factor 57420 and 57428 is 4.

Also check out the Least Common Multiple of 57420 and 57428