What is the Greatest Common Factor of 50512 and 50523?

Greatest common factor (GCF) of 50512 and 50523 is 11.

GCF(50512,50523) = 11

We will now calculate the prime factors of 50512 and 50523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50512 and 50523.

How to find the GCF of 50512 and 50523?

We will first find the prime factorization of 50512 and 50523. After we will calculate the factors of 50512 and 50523 and find the biggest common factor number .

Step-1: Prime Factorization of 50512

Prime factors of 50512 are 2, 7, 11, 41. Prime factorization of 50512 in exponential form is:

50512 = 2⁴ × 7¹ × 11¹ × 41¹

Step-2: 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-3: Factors of 50512

List of positive integer factors of 50512 that divides 50512 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 41, 44, 56, 77, 82, 88, 112, 154, 164, 176, 287, 308, 328, 451, 574, 616, 656, 902, 1148, 1232, 1804, 2296, 3157, 3608, 4592, 6314, 7216, 12628, 25256

Step-4: Factors of 50523

List of positive integer factors of 50523 that divides 50512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50512 and 50523. The biggest common factor number is the GCF number.
So the greatest common factor 50512 and 50523 is 11.

Also check out the Least Common Multiple of 50512 and 50523