What is the Greatest Common Factor of 57686 and 57696?

Greatest common factor (GCF) of 57686 and 57696 is 2.

GCF(57686,57696) = 2

We will now calculate the prime factors of 57686 and 57696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57686 and 57696.

How to find the GCF of 57686 and 57696?

We will first find the prime factorization of 57686 and 57696. After we will calculate the factors of 57686 and 57696 and find the biggest common factor number .

Step-1: Prime Factorization of 57686

Prime factors of 57686 are 2, 28843. Prime factorization of 57686 in exponential form is:

57686 = 2¹ × 28843¹

Step-2: Prime Factorization of 57696

Prime factors of 57696 are 2, 3, 601. Prime factorization of 57696 in exponential form is:

57696 = 2⁵ × 3¹ × 601¹

Step-3: Factors of 57686

List of positive integer factors of 57686 that divides 57686 without a remainder.

1, 2, 28843

Step-4: Factors of 57696

List of positive integer factors of 57696 that divides 57686 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 601, 1202, 1803, 2404, 3606, 4808, 7212, 9616, 14424, 19232, 28848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57686 and 57696. The biggest common factor number is the GCF number.
So the greatest common factor 57686 and 57696 is 2.

Also check out the Least Common Multiple of 57686 and 57696