What is the Greatest Common Factor of 50784 and 50795?

Greatest common factor (GCF) of 50784 and 50795 is 1.

GCF(50784,50795) = 1

We will now calculate the prime factors of 50784 and 50795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50784 and 50795.

How to find the GCF of 50784 and 50795?

We will first find the prime factorization of 50784 and 50795. After we will calculate the factors of 50784 and 50795 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 50795

Prime factors of 50795 are 5, 10159. Prime factorization of 50795 in exponential form is:

50795 = 5¹ × 10159¹

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 50795

List of positive integer factors of 50795 that divides 50784 without a remainder.

1, 5, 10159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50784 and 50795. The biggest common factor number is the GCF number.
So the greatest common factor 50784 and 50795 is 1.

Also check out the Least Common Multiple of 50784 and 50795