What is the Greatest Common Factor of 57415 and 57420?

Greatest common factor (GCF) of 57415 and 57420 is 5.

GCF(57415,57420) = 5

We will now calculate the prime factors of 57415 and 57420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57415 and 57420.

How to find the GCF of 57415 and 57420?

We will first find the prime factorization of 57415 and 57420. After we will calculate the factors of 57415 and 57420 and find the biggest common factor number .

Step-1: Prime Factorization of 57415

Prime factors of 57415 are 5, 11483. Prime factorization of 57415 in exponential form is:

57415 = 5¹ × 11483¹

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 57415

List of positive integer factors of 57415 that divides 57415 without a remainder.

1, 5, 11483

Step-4: Factors of 57420

List of positive integer factors of 57420 that divides 57415 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 57415 and 57420. The biggest common factor number is the GCF number.
So the greatest common factor 57415 and 57420 is 5.

Also check out the Least Common Multiple of 57415 and 57420