What is the Greatest Common Factor of 50512 and 50519?

Greatest common factor (GCF) of 50512 and 50519 is 7.

GCF(50512,50519) = 7

We will now calculate the prime factors of 50512 and 50519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50512 and 50519.

How to find the GCF of 50512 and 50519?

We will first find the prime factorization of 50512 and 50519. After we will calculate the factors of 50512 and 50519 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 50519

Prime factors of 50519 are 7, 1031. Prime factorization of 50519 in exponential form is:

50519 = 7² × 1031¹

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 50519

List of positive integer factors of 50519 that divides 50512 without a remainder.

1, 7, 49, 1031, 7217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50512 and 50519. The biggest common factor number is the GCF number.
So the greatest common factor 50512 and 50519 is 7.

Also check out the Least Common Multiple of 50512 and 50519