What is the Greatest Common Factor of 50475 and 50485?

Greatest common factor (GCF) of 50475 and 50485 is 5.

GCF(50475,50485) = 5

We will now calculate the prime factors of 50475 and 50485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50475 and 50485.

How to find the GCF of 50475 and 50485?

We will first find the prime factorization of 50475 and 50485. After we will calculate the factors of 50475 and 50485 and find the biggest common factor number .

Step-1: Prime Factorization of 50475

Prime factors of 50475 are 3, 5, 673. Prime factorization of 50475 in exponential form is:

50475 = 3¹ × 5² × 673¹

Step-2: Prime Factorization of 50485

Prime factors of 50485 are 5, 23, 439. Prime factorization of 50485 in exponential form is:

50485 = 5¹ × 23¹ × 439¹

Step-3: Factors of 50475

List of positive integer factors of 50475 that divides 50475 without a remainder.

1, 3, 5, 15, 25, 75, 673, 2019, 3365, 10095, 16825

Step-4: Factors of 50485

List of positive integer factors of 50485 that divides 50475 without a remainder.

1, 5, 23, 115, 439, 2195, 10097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50475 and 50485. The biggest common factor number is the GCF number.
So the greatest common factor 50475 and 50485 is 5.

Also check out the Least Common Multiple of 50475 and 50485