What is the Greatest Common Factor of 57400 and 57404?

Greatest common factor (GCF) of 57400 and 57404 is 4.

GCF(57400,57404) = 4

We will now calculate the prime factors of 57400 and 57404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57400 and 57404.

How to find the GCF of 57400 and 57404?

We will first find the prime factorization of 57400 and 57404. After we will calculate the factors of 57400 and 57404 and find the biggest common factor number .

Step-1: Prime Factorization of 57400

Prime factors of 57400 are 2, 5, 7, 41. Prime factorization of 57400 in exponential form is:

57400 = 2³ × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 57404

Prime factors of 57404 are 2, 113, 127. Prime factorization of 57404 in exponential form is:

57404 = 2² × 113¹ × 127¹

Step-3: Factors of 57400

List of positive integer factors of 57400 that divides 57400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 41, 50, 56, 70, 82, 100, 140, 164, 175, 200, 205, 280, 287, 328, 350, 410, 574, 700, 820, 1025, 1148, 1400, 1435, 1640, 2050, 2296, 2870, 4100, 5740, 7175, 8200, 11480, 14350, 28700

Step-4: Factors of 57404

List of positive integer factors of 57404 that divides 57400 without a remainder.

1, 2, 4, 113, 127, 226, 254, 452, 508, 14351, 28702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57400 and 57404. The biggest common factor number is the GCF number.
So the greatest common factor 57400 and 57404 is 4.

Also check out the Least Common Multiple of 57400 and 57404