What is the Greatest Common Factor of 57405 and 57420?

Greatest common factor (GCF) of 57405 and 57420 is 15.

GCF(57405,57420) = 15

We will now calculate the prime factors of 57405 and 57420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57405 and 57420.

How to find the GCF of 57405 and 57420?

We will first find the prime factorization of 57405 and 57420. After we will calculate the factors of 57405 and 57420 and find the biggest common factor number .

Step-1: Prime Factorization of 57405

Prime factors of 57405 are 3, 5, 43, 89. Prime factorization of 57405 in exponential form is:

57405 = 3¹ × 5¹ × 43¹ × 89¹

Step-2: 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-3: Factors of 57405

List of positive integer factors of 57405 that divides 57405 without a remainder.

1, 3, 5, 15, 43, 89, 129, 215, 267, 445, 645, 1335, 3827, 11481, 19135

Step-4: Factors of 57420

List of positive integer factors of 57420 that divides 57405 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57405 and 57420. The biggest common factor number is the GCF number.
So the greatest common factor 57405 and 57420 is 15.

Also check out the Least Common Multiple of 57405 and 57420