What is the Greatest Common Factor of 50768 and 50782?

Greatest common factor (GCF) of 50768 and 50782 is 2.

GCF(50768,50782) = 2

We will now calculate the prime factors of 50768 and 50782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50768 and 50782.

How to find the GCF of 50768 and 50782?

We will first find the prime factorization of 50768 and 50782. After we will calculate the factors of 50768 and 50782 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 50782

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

50782 = 2¹ × 25391¹

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 50782

List of positive integer factors of 50782 that divides 50768 without a remainder.

1, 2, 25391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50768 and 50782. The biggest common factor number is the GCF number.
So the greatest common factor 50768 and 50782 is 2.

Also check out the Least Common Multiple of 50768 and 50782