What is the Greatest Common Factor of 57800 and 57808?

Greatest common factor (GCF) of 57800 and 57808 is 8.

GCF(57800,57808) = 8

We will now calculate the prime factors of 57800 and 57808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57800 and 57808.

How to find the GCF of 57800 and 57808?

We will first find the prime factorization of 57800 and 57808. After we will calculate the factors of 57800 and 57808 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 57808

Prime factors of 57808 are 2, 3613. Prime factorization of 57808 in exponential form is:

57808 = 2⁴ × 3613¹

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 57808

List of positive integer factors of 57808 that divides 57800 without a remainder.

1, 2, 4, 8, 16, 3613, 7226, 14452, 28904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57800 and 57808. The biggest common factor number is the GCF number.
So the greatest common factor 57800 and 57808 is 8.

Also check out the Least Common Multiple of 57800 and 57808