What is the Greatest Common Factor of 57800 and 57810?

Greatest common factor (GCF) of 57800 and 57810 is 10.

GCF(57800,57810) = 10

We will now calculate the prime factors of 57800 and 57810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57800 and 57810.

How to find the GCF of 57800 and 57810?

We will first find the prime factorization of 57800 and 57810. After we will calculate the factors of 57800 and 57810 and find the biggest common factor number .

Step-1: Prime Factorization of 57800

Prime factors of 57800 are 2, 5, 17. Prime factorization of 57800 in exponential form is:

57800 = 2³ × 5² × 17²

Step-2: Prime Factorization of 57810

Prime factors of 57810 are 2, 3, 5, 41, 47. Prime factorization of 57810 in exponential form is:

57810 = 2¹ × 3¹ × 5¹ × 41¹ × 47¹

Step-3: Factors of 57800

List of positive integer factors of 57800 that divides 57800 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 289, 340, 425, 578, 680, 850, 1156, 1445, 1700, 2312, 2890, 3400, 5780, 7225, 11560, 14450, 28900

Step-4: Factors of 57810

List of positive integer factors of 57810 that divides 57800 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 47, 82, 94, 123, 141, 205, 235, 246, 282, 410, 470, 615, 705, 1230, 1410, 1927, 3854, 5781, 9635, 11562, 19270, 28905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57800 and 57810. The biggest common factor number is the GCF number.
So the greatest common factor 57800 and 57810 is 10.

Also check out the Least Common Multiple of 57800 and 57810