What is the Greatest Common Factor of 50415 and 50430?

Greatest common factor (GCF) of 50415 and 50430 is 15.

GCF(50415,50430) = 15

We will now calculate the prime factors of 50415 and 50430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50415 and 50430.

How to find the GCF of 50415 and 50430?

We will first find the prime factorization of 50415 and 50430. After we will calculate the factors of 50415 and 50430 and find the biggest common factor number .

Step-1: Prime Factorization of 50415

Prime factors of 50415 are 3, 5, 3361. Prime factorization of 50415 in exponential form is:

50415 = 3¹ × 5¹ × 3361¹

Step-2: Prime Factorization of 50430

Prime factors of 50430 are 2, 3, 5, 41. Prime factorization of 50430 in exponential form is:

50430 = 2¹ × 3¹ × 5¹ × 41²

Step-3: Factors of 50415

List of positive integer factors of 50415 that divides 50415 without a remainder.

1, 3, 5, 15, 3361, 10083, 16805

Step-4: Factors of 50430

List of positive integer factors of 50430 that divides 50415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230, 1681, 3362, 5043, 8405, 10086, 16810, 25215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50415 and 50430. The biggest common factor number is the GCF number.
So the greatest common factor 50415 and 50430 is 15.

Also check out the Least Common Multiple of 50415 and 50430