What is the Greatest Common Factor of 57808 and 57814?

Greatest common factor (GCF) of 57808 and 57814 is 2.

GCF(57808,57814) = 2

We will now calculate the prime factors of 57808 and 57814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57808 and 57814.

How to find the GCF of 57808 and 57814?

We will first find the prime factorization of 57808 and 57814. After we will calculate the factors of 57808 and 57814 and find the biggest common factor number .

Step-1: Prime Factorization of 57808

Prime factors of 57808 are 2, 3613. Prime factorization of 57808 in exponential form is:

57808 = 2⁴ × 3613¹

Step-2: Prime Factorization of 57814

Prime factors of 57814 are 2, 137, 211. Prime factorization of 57814 in exponential form is:

57814 = 2¹ × 137¹ × 211¹

Step-3: Factors of 57808

List of positive integer factors of 57808 that divides 57808 without a remainder.

1, 2, 4, 8, 16, 3613, 7226, 14452, 28904

Step-4: Factors of 57814

List of positive integer factors of 57814 that divides 57808 without a remainder.

1, 2, 137, 211, 274, 422, 28907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57808 and 57814. The biggest common factor number is the GCF number.
So the greatest common factor 57808 and 57814 is 2.

Also check out the Least Common Multiple of 57808 and 57814