What is the Greatest Common Factor of 57892 and 57904?

Greatest common factor (GCF) of 57892 and 57904 is 4.

GCF(57892,57904) = 4

We will now calculate the prime factors of 57892 and 57904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57892 and 57904.

How to find the GCF of 57892 and 57904?

We will first find the prime factorization of 57892 and 57904. After we will calculate the factors of 57892 and 57904 and find the biggest common factor number .

Step-1: Prime Factorization of 57892

Prime factors of 57892 are 2, 41, 353. Prime factorization of 57892 in exponential form is:

57892 = 2² × 41¹ × 353¹

Step-2: Prime Factorization of 57904

Prime factors of 57904 are 2, 7, 11, 47. Prime factorization of 57904 in exponential form is:

57904 = 2⁴ × 7¹ × 11¹ × 47¹

Step-3: Factors of 57892

List of positive integer factors of 57892 that divides 57892 without a remainder.

1, 2, 4, 41, 82, 164, 353, 706, 1412, 14473, 28946

Step-4: Factors of 57904

List of positive integer factors of 57904 that divides 57892 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 47, 56, 77, 88, 94, 112, 154, 176, 188, 308, 329, 376, 517, 616, 658, 752, 1034, 1232, 1316, 2068, 2632, 3619, 4136, 5264, 7238, 8272, 14476, 28952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57892 and 57904. The biggest common factor number is the GCF number.
So the greatest common factor 57892 and 57904 is 4.

Also check out the Least Common Multiple of 57892 and 57904