What is the Greatest Common Factor of 50806 and 50825?

Greatest common factor (GCF) of 50806 and 50825 is 19.

GCF(50806,50825) = 19

We will now calculate the prime factors of 50806 and 50825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50806 and 50825.

How to find the GCF of 50806 and 50825?

We will first find the prime factorization of 50806 and 50825. After we will calculate the factors of 50806 and 50825 and find the biggest common factor number .

Step-1: Prime Factorization of 50806

Prime factors of 50806 are 2, 7, 19, 191. Prime factorization of 50806 in exponential form is:

50806 = 2¹ × 7¹ × 19¹ × 191¹

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 50806

List of positive integer factors of 50806 that divides 50806 without a remainder.

1, 2, 7, 14, 19, 38, 133, 191, 266, 382, 1337, 2674, 3629, 7258, 25403

Step-4: Factors of 50825

List of positive integer factors of 50825 that divides 50806 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 50806 and 50825. The biggest common factor number is the GCF number.
So the greatest common factor 50806 and 50825 is 19.

Also check out the Least Common Multiple of 50806 and 50825