What is the Greatest Common Factor of 57435 and 57440?

Greatest common factor (GCF) of 57435 and 57440 is 5.

GCF(57435,57440) = 5

We will now calculate the prime factors of 57435 and 57440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57435 and 57440.

How to find the GCF of 57435 and 57440?

We will first find the prime factorization of 57435 and 57440. After we will calculate the factors of 57435 and 57440 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57440

Prime factors of 57440 are 2, 5, 359. Prime factorization of 57440 in exponential form is:

57440 = 2⁵ × 5¹ × 359¹

Step-3: Factors of 57435

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

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

Step-4: Factors of 57440

List of positive integer factors of 57440 that divides 57435 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 359, 718, 1436, 1795, 2872, 3590, 5744, 7180, 11488, 14360, 28720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57435 and 57440. The biggest common factor number is the GCF number.
So the greatest common factor 57435 and 57440 is 5.

Also check out the Least Common Multiple of 57435 and 57440