What is the Greatest Common Factor of 57200 and 57205?

Greatest common factor (GCF) of 57200 and 57205 is 5.

GCF(57200,57205) = 5

We will now calculate the prime factors of 57200 and 57205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57200 and 57205.

How to find the GCF of 57200 and 57205?

We will first find the prime factorization of 57200 and 57205. After we will calculate the factors of 57200 and 57205 and find the biggest common factor number .

Step-1: Prime Factorization of 57200

Prime factors of 57200 are 2, 5, 11, 13. Prime factorization of 57200 in exponential form is:

57200 = 2⁴ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 57205

Prime factors of 57205 are 5, 17, 673. Prime factorization of 57205 in exponential form is:

57205 = 5¹ × 17¹ × 673¹

Step-3: Factors of 57200

List of positive integer factors of 57200 that divides 57200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 25, 26, 40, 44, 50, 52, 55, 65, 80, 88, 100, 104, 110, 130, 143, 176, 200, 208, 220, 260, 275, 286, 325, 400, 440, 520, 550, 572, 650, 715, 880, 1040, 1100, 1144, 1300, 1430, 2200, 2288, 2600, 2860, 3575, 4400, 5200, 5720, 7150, 11440, 14300, 28600

Step-4: Factors of 57205

List of positive integer factors of 57205 that divides 57200 without a remainder.

1, 5, 17, 85, 673, 3365, 11441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57200 and 57205. The biggest common factor number is the GCF number.
So the greatest common factor 57200 and 57205 is 5.

Also check out the Least Common Multiple of 57200 and 57205