What is the Greatest Common Factor of 57440 and 57445?

Greatest common factor (GCF) of 57440 and 57445 is 5.

GCF(57440,57445) = 5

We will now calculate the prime factors of 57440 and 57445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57440 and 57445.

How to find the GCF of 57440 and 57445?

We will first find the prime factorization of 57440 and 57445. After we will calculate the factors of 57440 and 57445 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 57445

Prime factors of 57445 are 5, 11489. Prime factorization of 57445 in exponential form is:

57445 = 5¹ × 11489¹

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 57445

List of positive integer factors of 57445 that divides 57440 without a remainder.

1, 5, 11489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57440 and 57445. The biggest common factor number is the GCF number.
So the greatest common factor 57440 and 57445 is 5.

Also check out the Least Common Multiple of 57440 and 57445