What is the Greatest Common Factor of 57792 and 57798?

Greatest common factor (GCF) of 57792 and 57798 is 6.

GCF(57792,57798) = 6

We will now calculate the prime factors of 57792 and 57798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57792 and 57798.

How to find the GCF of 57792 and 57798?

We will first find the prime factorization of 57792 and 57798. After we will calculate the factors of 57792 and 57798 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 57798

Prime factors of 57798 are 2, 3, 13, 19. Prime factorization of 57798 in exponential form is:

57798 = 2¹ × 3² × 13² × 19¹

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 57798

List of positive integer factors of 57798 that divides 57792 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 169, 171, 234, 247, 338, 342, 494, 507, 741, 1014, 1482, 1521, 2223, 3042, 3211, 4446, 6422, 9633, 19266, 28899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57792 and 57798. The biggest common factor number is the GCF number.
So the greatest common factor 57792 and 57798 is 6.

Also check out the Least Common Multiple of 57792 and 57798