What is the Greatest Common Factor of 57386 and 57400?

Greatest common factor (GCF) of 57386 and 57400 is 14.

GCF(57386,57400) = 14

We will now calculate the prime factors of 57386 and 57400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57386 and 57400.

How to find the GCF of 57386 and 57400?

We will first find the prime factorization of 57386 and 57400. After we will calculate the factors of 57386 and 57400 and find the biggest common factor number .

Step-1: Prime Factorization of 57386

Prime factors of 57386 are 2, 7, 4099. Prime factorization of 57386 in exponential form is:

57386 = 2¹ × 7¹ × 4099¹

Step-2: 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-3: Factors of 57386

List of positive integer factors of 57386 that divides 57386 without a remainder.

1, 2, 7, 14, 4099, 8198, 28693

Step-4: Factors of 57400

List of positive integer factors of 57400 that divides 57386 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57386 and 57400. The biggest common factor number is the GCF number.
So the greatest common factor 57386 and 57400 is 14.

Also check out the Least Common Multiple of 57386 and 57400