What is the Greatest Common Factor of 57400 and 57410?

Greatest common factor (GCF) of 57400 and 57410 is 10.

GCF(57400,57410) = 10

We will now calculate the prime factors of 57400 and 57410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57400 and 57410.

How to find the GCF of 57400 and 57410?

We will first find the prime factorization of 57400 and 57410. After we will calculate the factors of 57400 and 57410 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 57410

Prime factors of 57410 are 2, 5, 5741. Prime factorization of 57410 in exponential form is:

57410 = 2¹ × 5¹ × 5741¹

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 57410

List of positive integer factors of 57410 that divides 57400 without a remainder.

1, 2, 5, 10, 5741, 11482, 28705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57400 and 57410. The biggest common factor number is the GCF number.
So the greatest common factor 57400 and 57410 is 10.

Also check out the Least Common Multiple of 57400 and 57410