What is the Greatest Common Factor of 50430 and 50445?

Greatest common factor (GCF) of 50430 and 50445 is 15.

GCF(50430,50445) = 15

We will now calculate the prime factors of 50430 and 50445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50430 and 50445.

How to find the GCF of 50430 and 50445?

We will first find the prime factorization of 50430 and 50445. After we will calculate the factors of 50430 and 50445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50445

Prime factors of 50445 are 3, 5, 19, 59. Prime factorization of 50445 in exponential form is:

50445 = 3² × 5¹ × 19¹ × 59¹

Step-3: Factors of 50430

List of positive integer factors of 50430 that divides 50430 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

Step-4: Factors of 50445

List of positive integer factors of 50445 that divides 50430 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 59, 95, 171, 177, 285, 295, 531, 855, 885, 1121, 2655, 3363, 5605, 10089, 16815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50430 and 50445. The biggest common factor number is the GCF number.
So the greatest common factor 50430 and 50445 is 15.

Also check out the Least Common Multiple of 50430 and 50445