What is the Greatest Common Factor of 57864 and 57876?

Greatest common factor (GCF) of 57864 and 57876 is 12.

GCF(57864,57876) = 12

We will now calculate the prime factors of 57864 and 57876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57864 and 57876.

How to find the GCF of 57864 and 57876?

We will first find the prime factorization of 57864 and 57876. After we will calculate the factors of 57864 and 57876 and find the biggest common factor number .

Step-1: Prime Factorization of 57864

Prime factors of 57864 are 2, 3, 2411. Prime factorization of 57864 in exponential form is:

57864 = 2³ × 3¹ × 2411¹

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 57864

List of positive integer factors of 57864 that divides 57864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2411, 4822, 7233, 9644, 14466, 19288, 28932

Step-4: Factors of 57876

List of positive integer factors of 57876 that divides 57864 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 57864 and 57876. The biggest common factor number is the GCF number.
So the greatest common factor 57864 and 57876 is 12.

Also check out the Least Common Multiple of 57864 and 57876