What is the Greatest Common Factor of 57440 and 57458?

Greatest common factor (GCF) of 57440 and 57458 is 2.

GCF(57440,57458) = 2

We will now calculate the prime factors of 57440 and 57458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57440 and 57458.

How to find the GCF of 57440 and 57458?

We will first find the prime factorization of 57440 and 57458. After we will calculate the factors of 57440 and 57458 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57458

Prime factors of 57458 are 2, 28729. Prime factorization of 57458 in exponential form is:

57458 = 2¹ × 28729¹

Step-3: Factors of 57440

List of positive integer factors of 57440 that divides 57440 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

Step-4: Factors of 57458

List of positive integer factors of 57458 that divides 57440 without a remainder.

1, 2, 28729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57440 and 57458. The biggest common factor number is the GCF number.
So the greatest common factor 57440 and 57458 is 2.

Also check out the Least Common Multiple of 57440 and 57458