What is the Greatest Common Factor of 50768 and 50774?

Greatest common factor (GCF) of 50768 and 50774 is 2.

GCF(50768,50774) = 2

We will now calculate the prime factors of 50768 and 50774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50768 and 50774.

How to find the GCF of 50768 and 50774?

We will first find the prime factorization of 50768 and 50774. After we will calculate the factors of 50768 and 50774 and find the biggest common factor number .

Step-1: Prime Factorization of 50768

Prime factors of 50768 are 2, 19, 167. Prime factorization of 50768 in exponential form is:

50768 = 2⁴ × 19¹ × 167¹

Step-2: 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-3: Factors of 50768

List of positive integer factors of 50768 that divides 50768 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 167, 304, 334, 668, 1336, 2672, 3173, 6346, 12692, 25384

Step-4: Factors of 50774

List of positive integer factors of 50774 that divides 50768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50768 and 50774. The biggest common factor number is the GCF number.
So the greatest common factor 50768 and 50774 is 2.

Also check out the Least Common Multiple of 50768 and 50774