What is the Greatest Common Factor of 50784 and 50796?

Greatest common factor (GCF) of 50784 and 50796 is 12.

GCF(50784,50796) = 12

We will now calculate the prime factors of 50784 and 50796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50784 and 50796.

How to find the GCF of 50784 and 50796?

We will first find the prime factorization of 50784 and 50796. After we will calculate the factors of 50784 and 50796 and find the biggest common factor number .

Step-1: Prime Factorization of 50784

Prime factors of 50784 are 2, 3, 23. Prime factorization of 50784 in exponential form is:

50784 = 2⁵ × 3¹ × 23²

Step-2: 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-3: Factors of 50784

List of positive integer factors of 50784 that divides 50784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 529, 552, 736, 1058, 1104, 1587, 2116, 2208, 3174, 4232, 6348, 8464, 12696, 16928, 25392

Step-4: Factors of 50796

List of positive integer factors of 50796 that divides 50784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50784 and 50796. The biggest common factor number is the GCF number.
So the greatest common factor 50784 and 50796 is 12.

Also check out the Least Common Multiple of 50784 and 50796