What is the Greatest Common Factor of 50774 and 50789?

Greatest common factor (GCF) of 50774 and 50789 is 1.

GCF(50774,50789) = 1

We will now calculate the prime factors of 50774 and 50789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50774 and 50789.

How to find the GCF of 50774 and 50789?

We will first find the prime factorization of 50774 and 50789. After we will calculate the factors of 50774 and 50789 and find the biggest common factor number .

Step-1: Prime Factorization of 50774

Prime factors of 50774 are 2, 53, 479. Prime factorization of 50774 in exponential form is:

50774 = 2¹ × 53¹ × 479¹

Step-2: Prime Factorization of 50789

Prime factors of 50789 are 50789. Prime factorization of 50789 in exponential form is:

50789 = 50789¹

Step-3: Factors of 50774

List of positive integer factors of 50774 that divides 50774 without a remainder.

1, 2, 53, 106, 479, 958, 25387

Step-4: Factors of 50789

List of positive integer factors of 50789 that divides 50774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50774 and 50789. The biggest common factor number is the GCF number.
So the greatest common factor 50774 and 50789 is 1.

Also check out the Least Common Multiple of 50774 and 50789