What is the Greatest Common Factor of 57856 and 57876?

Greatest common factor (GCF) of 57856 and 57876 is 4.

GCF(57856,57876) = 4

We will now calculate the prime factors of 57856 and 57876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57856 and 57876.

How to find the GCF of 57856 and 57876?

We will first find the prime factorization of 57856 and 57876. After we will calculate the factors of 57856 and 57876 and find the biggest common factor number .

Step-1: Prime Factorization of 57856

Prime factors of 57856 are 2, 113. Prime factorization of 57856 in exponential form is:

57856 = 2⁹ × 113¹

Step-2: Prime Factorization of 57876

Prime factors of 57876 are 2, 3, 7, 13, 53. Prime factorization of 57876 in exponential form is:

57876 = 2² × 3¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 57856

List of positive integer factors of 57856 that divides 57856 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 256, 452, 512, 904, 1808, 3616, 7232, 14464, 28928

Step-4: Factors of 57876

List of positive integer factors of 57876 that divides 57856 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 53, 78, 84, 91, 106, 156, 159, 182, 212, 273, 318, 364, 371, 546, 636, 689, 742, 1092, 1113, 1378, 1484, 2067, 2226, 2756, 4134, 4452, 4823, 8268, 9646, 14469, 19292, 28938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57856 and 57876. The biggest common factor number is the GCF number.
So the greatest common factor 57856 and 57876 is 4.

Also check out the Least Common Multiple of 57856 and 57876