What is the Greatest Common Factor of 57792 and 57800?

Greatest common factor (GCF) of 57792 and 57800 is 8.

GCF(57792,57800) = 8

We will now calculate the prime factors of 57792 and 57800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57792 and 57800.

How to find the GCF of 57792 and 57800?

We will first find the prime factorization of 57792 and 57800. After we will calculate the factors of 57792 and 57800 and find the biggest common factor number .

Step-1: Prime Factorization of 57792

Prime factors of 57792 are 2, 3, 7, 43. Prime factorization of 57792 in exponential form is:

57792 = 2⁶ × 3¹ × 7¹ × 43¹

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 57792

List of positive integer factors of 57792 that divides 57792 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 43, 48, 56, 64, 84, 86, 96, 112, 129, 168, 172, 192, 224, 258, 301, 336, 344, 448, 516, 602, 672, 688, 903, 1032, 1204, 1344, 1376, 1806, 2064, 2408, 2752, 3612, 4128, 4816, 7224, 8256, 9632, 14448, 19264, 28896

Step-4: Factors of 57800

List of positive integer factors of 57800 that divides 57792 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 57792 and 57800. The biggest common factor number is the GCF number.
So the greatest common factor 57792 and 57800 is 8.

Also check out the Least Common Multiple of 57792 and 57800