What is the Greatest Common Factor of 50523 and 50529?

Greatest common factor (GCF) of 50523 and 50529 is 3.

GCF(50523,50529) = 3

We will now calculate the prime factors of 50523 and 50529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50523 and 50529.

How to find the GCF of 50523 and 50529?

We will first find the prime factorization of 50523 and 50529. After we will calculate the factors of 50523 and 50529 and find the biggest common factor number .

Step-1: Prime Factorization of 50523

Prime factors of 50523 are 3, 11, 1531. Prime factorization of 50523 in exponential form is:

50523 = 3¹ × 11¹ × 1531¹

Step-2: Prime Factorization of 50529

Prime factors of 50529 are 3, 16843. Prime factorization of 50529 in exponential form is:

50529 = 3¹ × 16843¹

Step-3: Factors of 50523

List of positive integer factors of 50523 that divides 50523 without a remainder.

1, 3, 11, 33, 1531, 4593, 16841

Step-4: Factors of 50529

List of positive integer factors of 50529 that divides 50523 without a remainder.

1, 3, 16843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50523 and 50529. The biggest common factor number is the GCF number.
So the greatest common factor 50523 and 50529 is 3.

Also check out the Least Common Multiple of 50523 and 50529