What is the Greatest Common Factor of 50758 and 50771?

Greatest common factor (GCF) of 50758 and 50771 is 1.

GCF(50758,50771) = 1

We will now calculate the prime factors of 50758 and 50771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50758 and 50771.

How to find the GCF of 50758 and 50771?

We will first find the prime factorization of 50758 and 50771. After we will calculate the factors of 50758 and 50771 and find the biggest common factor number .

Step-1: Prime Factorization of 50758

Prime factors of 50758 are 2, 41, 619. Prime factorization of 50758 in exponential form is:

50758 = 2¹ × 41¹ × 619¹

Step-2: Prime Factorization of 50771

Prime factors of 50771 are 7, 7253. Prime factorization of 50771 in exponential form is:

50771 = 7¹ × 7253¹

Step-3: Factors of 50758

List of positive integer factors of 50758 that divides 50758 without a remainder.

1, 2, 41, 82, 619, 1238, 25379

Step-4: Factors of 50771

List of positive integer factors of 50771 that divides 50758 without a remainder.

1, 7, 7253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50758 and 50771. The biggest common factor number is the GCF number.
So the greatest common factor 50758 and 50771 is 1.

Also check out the Least Common Multiple of 50758 and 50771