What is the Greatest Common Factor of 50460 and 50475?

Greatest common factor (GCF) of 50460 and 50475 is 15.

GCF(50460,50475) = 15

We will now calculate the prime factors of 50460 and 50475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50460 and 50475.

How to find the GCF of 50460 and 50475?

We will first find the prime factorization of 50460 and 50475. After we will calculate the factors of 50460 and 50475 and find the biggest common factor number .

Step-1: Prime Factorization of 50460

Prime factors of 50460 are 2, 3, 5, 29. Prime factorization of 50460 in exponential form is:

50460 = 2² × 3¹ × 5¹ × 29²

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 50460

List of positive integer factors of 50460 that divides 50460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 841, 870, 1682, 1740, 2523, 3364, 4205, 5046, 8410, 10092, 12615, 16820, 25230

Step-4: Factors of 50475

List of positive integer factors of 50475 that divides 50460 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 50460 and 50475. The biggest common factor number is the GCF number.
So the greatest common factor 50460 and 50475 is 15.

Also check out the Least Common Multiple of 50460 and 50475