What is the Greatest Common Factor of 50809 and 50825?

Greatest common factor (GCF) of 50809 and 50825 is 1.

GCF(50809,50825) = 1

We will now calculate the prime factors of 50809 and 50825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50809 and 50825.

How to find the GCF of 50809 and 50825?

We will first find the prime factorization of 50809 and 50825. After we will calculate the factors of 50809 and 50825 and find the biggest common factor number .

Step-1: Prime Factorization of 50809

Prime factors of 50809 are 11, 31, 149. Prime factorization of 50809 in exponential form is:

50809 = 11¹ × 31¹ × 149¹

Step-2: Prime Factorization of 50825

Prime factors of 50825 are 5, 19, 107. Prime factorization of 50825 in exponential form is:

50825 = 5² × 19¹ × 107¹

Step-3: Factors of 50809

List of positive integer factors of 50809 that divides 50809 without a remainder.

1, 11, 31, 149, 341, 1639, 4619

Step-4: Factors of 50825

List of positive integer factors of 50825 that divides 50809 without a remainder.

1, 5, 19, 25, 95, 107, 475, 535, 2033, 2675, 10165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50809 and 50825. The biggest common factor number is the GCF number.
So the greatest common factor 50809 and 50825 is 1.

Also check out the Least Common Multiple of 50809 and 50825