What is the Greatest Common Factor of 57856 and 57865?

Greatest common factor (GCF) of 57856 and 57865 is 1.

GCF(57856,57865) = 1

We will now calculate the prime factors of 57856 and 57865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57856 and 57865.

How to find the GCF of 57856 and 57865?

We will first find the prime factorization of 57856 and 57865. After we will calculate the factors of 57856 and 57865 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 57865

Prime factors of 57865 are 5, 71, 163. Prime factorization of 57865 in exponential form is:

57865 = 5¹ × 71¹ × 163¹

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 57865

List of positive integer factors of 57865 that divides 57856 without a remainder.

1, 5, 71, 163, 355, 815, 11573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57856 and 57865. The biggest common factor number is the GCF number.
So the greatest common factor 57856 and 57865 is 1.

Also check out the Least Common Multiple of 57856 and 57865