What is the Greatest Common Factor of 57792 and 57797?

Greatest common factor (GCF) of 57792 and 57797 is 1.

GCF(57792,57797) = 1

We will now calculate the prime factors of 57792 and 57797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57792 and 57797.

How to find the GCF of 57792 and 57797?

We will first find the prime factorization of 57792 and 57797. After we will calculate the factors of 57792 and 57797 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 57797

Prime factors of 57797 are 29, 1993. Prime factorization of 57797 in exponential form is:

57797 = 29¹ × 1993¹

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 57797

List of positive integer factors of 57797 that divides 57792 without a remainder.

1, 29, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57792 and 57797. The biggest common factor number is the GCF number.
So the greatest common factor 57792 and 57797 is 1.

Also check out the Least Common Multiple of 57792 and 57797