What is the Greatest Common Factor of 57785 and 57792?

Greatest common factor (GCF) of 57785 and 57792 is 7.

GCF(57785,57792) = 7

We will now calculate the prime factors of 57785 and 57792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57785 and 57792.

How to find the GCF of 57785 and 57792?

We will first find the prime factorization of 57785 and 57792. After we will calculate the factors of 57785 and 57792 and find the biggest common factor number .

Step-1: Prime Factorization of 57785

Prime factors of 57785 are 5, 7, 13, 127. Prime factorization of 57785 in exponential form is:

57785 = 5¹ × 7¹ × 13¹ × 127¹

Step-2: 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-3: Factors of 57785

List of positive integer factors of 57785 that divides 57785 without a remainder.

1, 5, 7, 13, 35, 65, 91, 127, 455, 635, 889, 1651, 4445, 8255, 11557

Step-4: Factors of 57792

List of positive integer factors of 57792 that divides 57785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57785 and 57792. The biggest common factor number is the GCF number.
So the greatest common factor 57785 and 57792 is 7.

Also check out the Least Common Multiple of 57785 and 57792