What is the Greatest Common Factor of 50744 and 50758?

Greatest common factor (GCF) of 50744 and 50758 is 2.

GCF(50744,50758) = 2

We will now calculate the prime factors of 50744 and 50758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50744 and 50758.

How to find the GCF of 50744 and 50758?

We will first find the prime factorization of 50744 and 50758. After we will calculate the factors of 50744 and 50758 and find the biggest common factor number .

Step-1: Prime Factorization of 50744

Prime factors of 50744 are 2, 6343. Prime factorization of 50744 in exponential form is:

50744 = 2³ × 6343¹

Step-2: 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-3: Factors of 50744

List of positive integer factors of 50744 that divides 50744 without a remainder.

1, 2, 4, 8, 6343, 12686, 25372

Step-4: Factors of 50758

List of positive integer factors of 50758 that divides 50744 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50744 and 50758. The biggest common factor number is the GCF number.
So the greatest common factor 50744 and 50758 is 2.

Also check out the Least Common Multiple of 50744 and 50758