What is the Greatest Common Factor of 50774 and 50782?

Greatest common factor (GCF) of 50774 and 50782 is 2.

GCF(50774,50782) = 2

We will now calculate the prime factors of 50774 and 50782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50774 and 50782.

How to find the GCF of 50774 and 50782?

We will first find the prime factorization of 50774 and 50782. After we will calculate the factors of 50774 and 50782 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 50782

Prime factors of 50782 are 2, 25391. Prime factorization of 50782 in exponential form is:

50782 = 2¹ × 25391¹

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 50782

List of positive integer factors of 50782 that divides 50774 without a remainder.

1, 2, 25391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50774 and 50782. The biggest common factor number is the GCF number.
So the greatest common factor 50774 and 50782 is 2.

Also check out the Least Common Multiple of 50774 and 50782