What is the Greatest Common Factor of 57904 and 57920?

Greatest common factor (GCF) of 57904 and 57920 is 16.

GCF(57904,57920) = 16

We will now calculate the prime factors of 57904 and 57920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57904 and 57920.

How to find the GCF of 57904 and 57920?

We will first find the prime factorization of 57904 and 57920. After we will calculate the factors of 57904 and 57920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57920

Prime factors of 57920 are 2, 5, 181. Prime factorization of 57920 in exponential form is:

57920 = 2⁶ × 5¹ × 181¹

Step-3: Factors of 57904

List of positive integer factors of 57904 that divides 57904 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

Step-4: Factors of 57920

List of positive integer factors of 57920 that divides 57904 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 181, 320, 362, 724, 905, 1448, 1810, 2896, 3620, 5792, 7240, 11584, 14480, 28960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57904 and 57920. The biggest common factor number is the GCF number.
So the greatest common factor 57904 and 57920 is 16.

Also check out the Least Common Multiple of 57904 and 57920