What is the Greatest Common Factor of 57420 and 57435?

Greatest common factor (GCF) of 57420 and 57435 is 15.

GCF(57420,57435) = 15

We will now calculate the prime factors of 57420 and 57435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57420 and 57435.

How to find the GCF of 57420 and 57435?

We will first find the prime factorization of 57420 and 57435. After we will calculate the factors of 57420 and 57435 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 57435

Prime factors of 57435 are 3, 5, 7, 547. Prime factorization of 57435 in exponential form is:

57435 = 3¹ × 5¹ × 7¹ × 547¹

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 57435

List of positive integer factors of 57435 that divides 57420 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 547, 1641, 2735, 3829, 8205, 11487, 19145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57420 and 57435. The biggest common factor number is the GCF number.
So the greatest common factor 57420 and 57435 is 15.

Also check out the Least Common Multiple of 57420 and 57435