What is the Greatest Common Factor of 57792 and 57807?

Greatest common factor (GCF) of 57792 and 57807 is 3.

GCF(57792,57807) = 3

We will now calculate the prime factors of 57792 and 57807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57792 and 57807.

How to find the GCF of 57792 and 57807?

We will first find the prime factorization of 57792 and 57807. After we will calculate the factors of 57792 and 57807 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 57807

Prime factors of 57807 are 3, 2141. Prime factorization of 57807 in exponential form is:

57807 = 3³ × 2141¹

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 57807

List of positive integer factors of 57807 that divides 57792 without a remainder.

1, 3, 9, 27, 2141, 6423, 19269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57792 and 57807. The biggest common factor number is the GCF number.
So the greatest common factor 57792 and 57807 is 3.

Also check out the Least Common Multiple of 57792 and 57807