What is the Greatest Common Factor of 57788 and 57799?

Greatest common factor (GCF) of 57788 and 57799 is 1.

GCF(57788,57799) = 1

We will now calculate the prime factors of 57788 and 57799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57788 and 57799.

How to find the GCF of 57788 and 57799?

We will first find the prime factorization of 57788 and 57799. After we will calculate the factors of 57788 and 57799 and find the biggest common factor number .

Step-1: Prime Factorization of 57788

Prime factors of 57788 are 2, 14447. Prime factorization of 57788 in exponential form is:

57788 = 2² × 14447¹

Step-2: Prime Factorization of 57799

Prime factors of 57799 are 7, 23, 359. Prime factorization of 57799 in exponential form is:

57799 = 7¹ × 23¹ × 359¹

Step-3: Factors of 57788

List of positive integer factors of 57788 that divides 57788 without a remainder.

1, 2, 4, 14447, 28894

Step-4: Factors of 57799

List of positive integer factors of 57799 that divides 57788 without a remainder.

1, 7, 23, 161, 359, 2513, 8257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57788 and 57799. The biggest common factor number is the GCF number.
So the greatest common factor 57788 and 57799 is 1.

Also check out the Least Common Multiple of 57788 and 57799