What is the Greatest Common Factor of 57400 and 57409?

Greatest common factor (GCF) of 57400 and 57409 is 1.

GCF(57400,57409) = 1

We will now calculate the prime factors of 57400 and 57409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57400 and 57409.

How to find the GCF of 57400 and 57409?

We will first find the prime factorization of 57400 and 57409. After we will calculate the factors of 57400 and 57409 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 57409

Prime factors of 57409 are 11, 17, 307. Prime factorization of 57409 in exponential form is:

57409 = 11¹ × 17¹ × 307¹

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 57409

List of positive integer factors of 57409 that divides 57400 without a remainder.

1, 11, 17, 187, 307, 3377, 5219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57400 and 57409. The biggest common factor number is the GCF number.
So the greatest common factor 57400 and 57409 is 1.

Also check out the Least Common Multiple of 57400 and 57409