What is the Greatest Common Factor of 50416 and 50425?

Greatest common factor (GCF) of 50416 and 50425 is 1.

GCF(50416,50425) = 1

We will now calculate the prime factors of 50416 and 50425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50416 and 50425.

How to find the GCF of 50416 and 50425?

We will first find the prime factorization of 50416 and 50425. After we will calculate the factors of 50416 and 50425 and find the biggest common factor number .

Step-1: Prime Factorization of 50416

Prime factors of 50416 are 2, 23, 137. Prime factorization of 50416 in exponential form is:

50416 = 2⁴ × 23¹ × 137¹

Step-2: Prime Factorization of 50425

Prime factors of 50425 are 5, 2017. Prime factorization of 50425 in exponential form is:

50425 = 5² × 2017¹

Step-3: Factors of 50416

List of positive integer factors of 50416 that divides 50416 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 137, 184, 274, 368, 548, 1096, 2192, 3151, 6302, 12604, 25208

Step-4: Factors of 50425

List of positive integer factors of 50425 that divides 50416 without a remainder.

1, 5, 25, 2017, 10085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50416 and 50425. The biggest common factor number is the GCF number.
So the greatest common factor 50416 and 50425 is 1.

Also check out the Least Common Multiple of 50416 and 50425