What is the Greatest Common Factor of 57779 and 57792?

Greatest common factor (GCF) of 57779 and 57792 is 1.

GCF(57779,57792) = 1

We will now calculate the prime factors of 57779 and 57792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57779 and 57792.

How to find the GCF of 57779 and 57792?

We will first find the prime factorization of 57779 and 57792. After we will calculate the factors of 57779 and 57792 and find the biggest common factor number .

Step-1: Prime Factorization of 57779

Prime factors of 57779 are 19, 3041. Prime factorization of 57779 in exponential form is:

57779 = 19¹ × 3041¹

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 57779

List of positive integer factors of 57779 that divides 57779 without a remainder.

1, 19, 3041

Step-4: Factors of 57792

List of positive integer factors of 57792 that divides 57779 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 57779 and 57792. The biggest common factor number is the GCF number.
So the greatest common factor 57779 and 57792 is 1.

Also check out the Least Common Multiple of 57779 and 57792