What is the Greatest Common Factor of 50512 and 50526?

Greatest common factor (GCF) of 50512 and 50526 is 14.

GCF(50512,50526) = 14

We will now calculate the prime factors of 50512 and 50526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50512 and 50526.

How to find the GCF of 50512 and 50526?

We will first find the prime factorization of 50512 and 50526. After we will calculate the factors of 50512 and 50526 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 50526

Prime factors of 50526 are 2, 3, 7, 401. Prime factorization of 50526 in exponential form is:

50526 = 2¹ × 3² × 7¹ × 401¹

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 50526

List of positive integer factors of 50526 that divides 50512 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 401, 802, 1203, 2406, 2807, 3609, 5614, 7218, 8421, 16842, 25263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50512 and 50526. The biggest common factor number is the GCF number.
So the greatest common factor 50512 and 50526 is 14.

Also check out the Least Common Multiple of 50512 and 50526