What is the Greatest Common Factor of 50796 and 50816?

Greatest common factor (GCF) of 50796 and 50816 is 4.

GCF(50796,50816) = 4

We will now calculate the prime factors of 50796 and 50816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50796 and 50816.

How to find the GCF of 50796 and 50816?

We will first find the prime factorization of 50796 and 50816. After we will calculate the factors of 50796 and 50816 and find the biggest common factor number .

Step-1: Prime Factorization of 50796

Prime factors of 50796 are 2, 3, 17, 83. Prime factorization of 50796 in exponential form is:

50796 = 2² × 3² × 17¹ × 83¹

Step-2: Prime Factorization of 50816

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

50816 = 2⁷ × 397¹

Step-3: Factors of 50796

List of positive integer factors of 50796 that divides 50796 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 83, 102, 153, 166, 204, 249, 306, 332, 498, 612, 747, 996, 1411, 1494, 2822, 2988, 4233, 5644, 8466, 12699, 16932, 25398

Step-4: Factors of 50816

List of positive integer factors of 50816 that divides 50796 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50796 and 50816. The biggest common factor number is the GCF number.
So the greatest common factor 50796 and 50816 is 4.

Also check out the Least Common Multiple of 50796 and 50816