What is the Greatest Common Factor of 50017 and 50028?

Greatest common factor (GCF) of 50017 and 50028 is 11.

GCF(50017,50028) = 11

We will now calculate the prime factors of 50017 and 50028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50017 and 50028.

How to find the GCF of 50017 and 50028?

We will first find the prime factorization of 50017 and 50028. After we will calculate the factors of 50017 and 50028 and find the biggest common factor number .

Step-1: Prime Factorization of 50017

Prime factors of 50017 are 11, 4547. Prime factorization of 50017 in exponential form is:

50017 = 11¹ × 4547¹

Step-2: Prime Factorization of 50028

Prime factors of 50028 are 2, 3, 11, 379. Prime factorization of 50028 in exponential form is:

50028 = 2² × 3¹ × 11¹ × 379¹

Step-3: Factors of 50017

List of positive integer factors of 50017 that divides 50017 without a remainder.

1, 11, 4547

Step-4: Factors of 50028

List of positive integer factors of 50028 that divides 50017 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 379, 758, 1137, 1516, 2274, 4169, 4548, 8338, 12507, 16676, 25014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50017 and 50028. The biggest common factor number is the GCF number.
So the greatest common factor 50017 and 50028 is 11.

Also check out the Least Common Multiple of 50017 and 50028