What is the Greatest Common Factor of 50498 and 50512?

Greatest common factor (GCF) of 50498 and 50512 is 14.

GCF(50498,50512) = 14

We will now calculate the prime factors of 50498 and 50512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50498 and 50512.

How to find the GCF of 50498 and 50512?

We will first find the prime factorization of 50498 and 50512. After we will calculate the factors of 50498 and 50512 and find the biggest common factor number .

Step-1: Prime Factorization of 50498

Prime factors of 50498 are 2, 7, 3607. Prime factorization of 50498 in exponential form is:

50498 = 2¹ × 7¹ × 3607¹

Step-2: 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-3: Factors of 50498

List of positive integer factors of 50498 that divides 50498 without a remainder.

1, 2, 7, 14, 3607, 7214, 25249

Step-4: Factors of 50512

List of positive integer factors of 50512 that divides 50498 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50498 and 50512. The biggest common factor number is the GCF number.
So the greatest common factor 50498 and 50512 is 14.

Also check out the Least Common Multiple of 50498 and 50512