What is the Greatest Common Factor of 50825 and 50845?

Greatest common factor (GCF) of 50825 and 50845 is 5.

GCF(50825,50845) = 5

We will now calculate the prime factors of 50825 and 50845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50825 and 50845.

How to find the GCF of 50825 and 50845?

We will first find the prime factorization of 50825 and 50845. After we will calculate the factors of 50825 and 50845 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50845

Prime factors of 50845 are 5, 10169. Prime factorization of 50845 in exponential form is:

50845 = 5¹ × 10169¹

Step-3: Factors of 50825

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

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

Step-4: Factors of 50845

List of positive integer factors of 50845 that divides 50825 without a remainder.

1, 5, 10169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50825 and 50845. The biggest common factor number is the GCF number.
So the greatest common factor 50825 and 50845 is 5.

Also check out the Least Common Multiple of 50825 and 50845