What is the Greatest Common Factor of 57846 and 57864?

Greatest common factor (GCF) of 57846 and 57864 is 6.

GCF(57846,57864) = 6

We will now calculate the prime factors of 57846 and 57864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57846 and 57864.

How to find the GCF of 57846 and 57864?

We will first find the prime factorization of 57846 and 57864. After we will calculate the factors of 57846 and 57864 and find the biggest common factor number .

Step-1: Prime Factorization of 57846

Prime factors of 57846 are 2, 3, 31, 311. Prime factorization of 57846 in exponential form is:

57846 = 2¹ × 3¹ × 31¹ × 311¹

Step-2: 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-3: Factors of 57846

List of positive integer factors of 57846 that divides 57846 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 311, 622, 933, 1866, 9641, 19282, 28923

Step-4: Factors of 57864

List of positive integer factors of 57864 that divides 57846 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57846 and 57864. The biggest common factor number is the GCF number.
So the greatest common factor 57846 and 57864 is 6.

Also check out the Least Common Multiple of 57846 and 57864