What is the Greatest Common Factor of 50061 and 50079?

Greatest common factor (GCF) of 50061 and 50079 is 3.

GCF(50061,50079) = 3

We will now calculate the prime factors of 50061 and 50079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50061 and 50079.

How to find the GCF of 50061 and 50079?

We will first find the prime factorization of 50061 and 50079. After we will calculate the factors of 50061 and 50079 and find the biggest common factor number .

Step-1: Prime Factorization of 50061

Prime factors of 50061 are 3, 11, 37, 41. Prime factorization of 50061 in exponential form is:

50061 = 3¹ × 11¹ × 37¹ × 41¹

Step-2: Prime Factorization of 50079

Prime factors of 50079 are 3, 16693. Prime factorization of 50079 in exponential form is:

50079 = 3¹ × 16693¹

Step-3: Factors of 50061

List of positive integer factors of 50061 that divides 50061 without a remainder.

1, 3, 11, 33, 37, 41, 111, 123, 407, 451, 1221, 1353, 1517, 4551, 16687

Step-4: Factors of 50079

List of positive integer factors of 50079 that divides 50061 without a remainder.

1, 3, 16693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50061 and 50079. The biggest common factor number is the GCF number.
So the greatest common factor 50061 and 50079 is 3.

Also check out the Least Common Multiple of 50061 and 50079