What is the Greatest Common Factor of 50784 and 50798?

Greatest common factor (GCF) of 50784 and 50798 is 2.

GCF(50784,50798) = 2

We will now calculate the prime factors of 50784 and 50798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50784 and 50798.

How to find the GCF of 50784 and 50798?

We will first find the prime factorization of 50784 and 50798. After we will calculate the factors of 50784 and 50798 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 50798

Prime factors of 50798 are 2, 11, 2309. Prime factorization of 50798 in exponential form is:

50798 = 2¹ × 11¹ × 2309¹

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 50798

List of positive integer factors of 50798 that divides 50784 without a remainder.

1, 2, 11, 22, 2309, 4618, 25399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50784 and 50798. The biggest common factor number is the GCF number.
So the greatest common factor 50784 and 50798 is 2.

Also check out the Least Common Multiple of 50784 and 50798