What is the Greatest Common Factor of 50505 and 50524?

Greatest common factor (GCF) of 50505 and 50524 is 1.

GCF(50505,50524) = 1

We will now calculate the prime factors of 50505 and 50524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50505 and 50524.

How to find the GCF of 50505 and 50524?

We will first find the prime factorization of 50505 and 50524. After we will calculate the factors of 50505 and 50524 and find the biggest common factor number .

Step-1: Prime Factorization of 50505

Prime factors of 50505 are 3, 5, 7, 13, 37. Prime factorization of 50505 in exponential form is:

50505 = 3¹ × 5¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 50524

Prime factors of 50524 are 2, 17, 743. Prime factorization of 50524 in exponential form is:

50524 = 2² × 17¹ × 743¹

Step-3: Factors of 50505

List of positive integer factors of 50505 that divides 50505 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 37, 39, 65, 91, 105, 111, 185, 195, 259, 273, 455, 481, 555, 777, 1295, 1365, 1443, 2405, 3367, 3885, 7215, 10101, 16835

Step-4: Factors of 50524

List of positive integer factors of 50524 that divides 50505 without a remainder.

1, 2, 4, 17, 34, 68, 743, 1486, 2972, 12631, 25262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50505 and 50524. The biggest common factor number is the GCF number.
So the greatest common factor 50505 and 50524 is 1.

Also check out the Least Common Multiple of 50505 and 50524