What is the Greatest Common Factor of 50470 and 50475?

Greatest common factor (GCF) of 50470 and 50475 is 5.

GCF(50470,50475) = 5

We will now calculate the prime factors of 50470 and 50475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50470 and 50475.

How to find the GCF of 50470 and 50475?

We will first find the prime factorization of 50470 and 50475. After we will calculate the factors of 50470 and 50475 and find the biggest common factor number .

Step-1: Prime Factorization of 50470

Prime factors of 50470 are 2, 5, 7, 103. Prime factorization of 50470 in exponential form is:

50470 = 2¹ × 5¹ × 7² × 103¹

Step-2: 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-3: Factors of 50470

List of positive integer factors of 50470 that divides 50470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 103, 206, 245, 490, 515, 721, 1030, 1442, 3605, 5047, 7210, 10094, 25235

Step-4: Factors of 50475

List of positive integer factors of 50475 that divides 50470 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50470 and 50475. The biggest common factor number is the GCF number.
So the greatest common factor 50470 and 50475 is 5.

Also check out the Least Common Multiple of 50470 and 50475