What is the Greatest Common Factor of 50816 and 50822?

Greatest common factor (GCF) of 50816 and 50822 is 2.

GCF(50816,50822) = 2

We will now calculate the prime factors of 50816 and 50822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50816 and 50822.

How to find the GCF of 50816 and 50822?

We will first find the prime factorization of 50816 and 50822. After we will calculate the factors of 50816 and 50822 and find the biggest common factor number .

Step-1: Prime Factorization of 50816

Prime factors of 50816 are 2, 397. Prime factorization of 50816 in exponential form is:

50816 = 2⁷ × 397¹

Step-2: Prime Factorization of 50822

Prime factors of 50822 are 2, 25411. Prime factorization of 50822 in exponential form is:

50822 = 2¹ × 25411¹

Step-3: Factors of 50816

List of positive integer factors of 50816 that divides 50816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 397, 794, 1588, 3176, 6352, 12704, 25408

Step-4: Factors of 50822

List of positive integer factors of 50822 that divides 50816 without a remainder.

1, 2, 25411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50816 and 50822. The biggest common factor number is the GCF number.
So the greatest common factor 50816 and 50822 is 2.

Also check out the Least Common Multiple of 50816 and 50822