What is the Greatest Common Factor of 50509 and 50524?

Greatest common factor (GCF) of 50509 and 50524 is 1.

GCF(50509,50524) = 1

We will now calculate the prime factors of 50509 and 50524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50509 and 50524.

How to find the GCF of 50509 and 50524?

We will first find the prime factorization of 50509 and 50524. After we will calculate the factors of 50509 and 50524 and find the biggest common factor number .

Step-1: Prime Factorization of 50509

Prime factors of 50509 are 53, 953. Prime factorization of 50509 in exponential form is:

50509 = 53¹ × 953¹

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 50509

List of positive integer factors of 50509 that divides 50509 without a remainder.

1, 53, 953

Step-4: Factors of 50524

List of positive integer factors of 50524 that divides 50509 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 50509 and 50524. The biggest common factor number is the GCF number.
So the greatest common factor 50509 and 50524 is 1.

Also check out the Least Common Multiple of 50509 and 50524