What is the Greatest Common Factor of 50775 and 50784?

Greatest common factor (GCF) of 50775 and 50784 is 3.

GCF(50775,50784) = 3

We will now calculate the prime factors of 50775 and 50784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50775 and 50784.

How to find the GCF of 50775 and 50784?

We will first find the prime factorization of 50775 and 50784. After we will calculate the factors of 50775 and 50784 and find the biggest common factor number .

Step-1: Prime Factorization of 50775

Prime factors of 50775 are 3, 5, 677. Prime factorization of 50775 in exponential form is:

50775 = 3¹ × 5² × 677¹

Step-2: 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-3: Factors of 50775

List of positive integer factors of 50775 that divides 50775 without a remainder.

1, 3, 5, 15, 25, 75, 677, 2031, 3385, 10155, 16925

Step-4: Factors of 50784

List of positive integer factors of 50784 that divides 50775 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50775 and 50784. The biggest common factor number is the GCF number.
So the greatest common factor 50775 and 50784 is 3.

Also check out the Least Common Multiple of 50775 and 50784