What is the Greatest Common Factor of 50774 and 50792?

Greatest common factor (GCF) of 50774 and 50792 is 2.

GCF(50774,50792) = 2

We will now calculate the prime factors of 50774 and 50792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50774 and 50792.

How to find the GCF of 50774 and 50792?

We will first find the prime factorization of 50774 and 50792. After we will calculate the factors of 50774 and 50792 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 50792

Prime factors of 50792 are 2, 7, 907. Prime factorization of 50792 in exponential form is:

50792 = 2³ × 7¹ × 907¹

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 50792

List of positive integer factors of 50792 that divides 50774 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 907, 1814, 3628, 6349, 7256, 12698, 25396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50774 and 50792. The biggest common factor number is the GCF number.
So the greatest common factor 50774 and 50792 is 2.

Also check out the Least Common Multiple of 50774 and 50792