What is the Greatest Common Factor of 50420 and 50425?

Greatest common factor (GCF) of 50420 and 50425 is 5.

GCF(50420,50425) = 5

We will now calculate the prime factors of 50420 and 50425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50420 and 50425.

How to find the GCF of 50420 and 50425?

We will first find the prime factorization of 50420 and 50425. After we will calculate the factors of 50420 and 50425 and find the biggest common factor number .

Step-1: Prime Factorization of 50420

Prime factors of 50420 are 2, 5, 2521. Prime factorization of 50420 in exponential form is:

50420 = 2² × 5¹ × 2521¹

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 50420

List of positive integer factors of 50420 that divides 50420 without a remainder.

1, 2, 4, 5, 10, 20, 2521, 5042, 10084, 12605, 25210

Step-4: Factors of 50425

List of positive integer factors of 50425 that divides 50420 without a remainder.

1, 5, 25, 2017, 10085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50420 and 50425. The biggest common factor number is the GCF number.
So the greatest common factor 50420 and 50425 is 5.

Also check out the Least Common Multiple of 50420 and 50425