What is the Greatest Common Factor of 57784 and 57800?

Greatest common factor (GCF) of 57784 and 57800 is 8.

GCF(57784,57800) = 8

We will now calculate the prime factors of 57784 and 57800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57784 and 57800.

How to find the GCF of 57784 and 57800?

We will first find the prime factorization of 57784 and 57800. After we will calculate the factors of 57784 and 57800 and find the biggest common factor number .

Step-1: Prime Factorization of 57784

Prime factors of 57784 are 2, 31, 233. Prime factorization of 57784 in exponential form is:

57784 = 2³ × 31¹ × 233¹

Step-2: 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-3: Factors of 57784

List of positive integer factors of 57784 that divides 57784 without a remainder.

1, 2, 4, 8, 31, 62, 124, 233, 248, 466, 932, 1864, 7223, 14446, 28892

Step-4: Factors of 57800

List of positive integer factors of 57800 that divides 57784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57784 and 57800. The biggest common factor number is the GCF number.
So the greatest common factor 57784 and 57800 is 8.

Also check out the Least Common Multiple of 57784 and 57800