What is the Greatest Common Factor of 57782 and 57792?

Greatest common factor (GCF) of 57782 and 57792 is 2.

GCF(57782,57792) = 2

We will now calculate the prime factors of 57782 and 57792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57782 and 57792.

How to find the GCF of 57782 and 57792?

We will first find the prime factorization of 57782 and 57792. After we will calculate the factors of 57782 and 57792 and find the biggest common factor number .

Step-1: Prime Factorization of 57782

Prime factors of 57782 are 2, 167, 173. Prime factorization of 57782 in exponential form is:

57782 = 2¹ × 167¹ × 173¹

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 57782

List of positive integer factors of 57782 that divides 57782 without a remainder.

1, 2, 167, 173, 334, 346, 28891

Step-4: Factors of 57792

List of positive integer factors of 57792 that divides 57782 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 57782 and 57792. The biggest common factor number is the GCF number.
So the greatest common factor 57782 and 57792 is 2.

Also check out the Least Common Multiple of 57782 and 57792