What is the Greatest Common Factor of 50523 and 50534?

Greatest common factor (GCF) of 50523 and 50534 is 11.

GCF(50523,50534) = 11

We will now calculate the prime factors of 50523 and 50534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50523 and 50534.

How to find the GCF of 50523 and 50534?

We will first find the prime factorization of 50523 and 50534. After we will calculate the factors of 50523 and 50534 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 50534

Prime factors of 50534 are 2, 11, 2297. Prime factorization of 50534 in exponential form is:

50534 = 2¹ × 11¹ × 2297¹

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 50534

List of positive integer factors of 50534 that divides 50523 without a remainder.

1, 2, 11, 22, 2297, 4594, 25267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50523 and 50534. The biggest common factor number is the GCF number.
So the greatest common factor 50523 and 50534 is 11.

Also check out the Least Common Multiple of 50523 and 50534