What is the Greatest Common Factor of 57040 and 57044?

Greatest common factor (GCF) of 57040 and 57044 is 4.

GCF(57040,57044) = 4

We will now calculate the prime factors of 57040 and 57044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57040 and 57044.

How to find the GCF of 57040 and 57044?

We will first find the prime factorization of 57040 and 57044. After we will calculate the factors of 57040 and 57044 and find the biggest common factor number .

Step-1: Prime Factorization of 57040

Prime factors of 57040 are 2, 5, 23, 31. Prime factorization of 57040 in exponential form is:

57040 = 2⁴ × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 57044

Prime factors of 57044 are 2, 13, 1097. Prime factorization of 57044 in exponential form is:

57044 = 2² × 13¹ × 1097¹

Step-3: Factors of 57040

List of positive integer factors of 57040 that divides 57040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 31, 40, 46, 62, 80, 92, 115, 124, 155, 184, 230, 248, 310, 368, 460, 496, 620, 713, 920, 1240, 1426, 1840, 2480, 2852, 3565, 5704, 7130, 11408, 14260, 28520

Step-4: Factors of 57044

List of positive integer factors of 57044 that divides 57040 without a remainder.

1, 2, 4, 13, 26, 52, 1097, 2194, 4388, 14261, 28522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57040 and 57044. The biggest common factor number is the GCF number.
So the greatest common factor 57040 and 57044 is 4.

Also check out the Least Common Multiple of 57040 and 57044