What is the Greatest Common Factor of 50816 and 50836?

Greatest common factor (GCF) of 50816 and 50836 is 4.

GCF(50816,50836) = 4

We will now calculate the prime factors of 50816 and 50836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50816 and 50836.

How to find the GCF of 50816 and 50836?

We will first find the prime factorization of 50816 and 50836. After we will calculate the factors of 50816 and 50836 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 50836

Prime factors of 50836 are 2, 71, 179. Prime factorization of 50836 in exponential form is:

50836 = 2² × 71¹ × 179¹

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 50836

List of positive integer factors of 50836 that divides 50816 without a remainder.

1, 2, 4, 71, 142, 179, 284, 358, 716, 12709, 25418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50816 and 50836. The biggest common factor number is the GCF number.
So the greatest common factor 50816 and 50836 is 4.

Also check out the Least Common Multiple of 50816 and 50836