What is the Greatest Common Factor of 50008 and 50027?

Greatest common factor (GCF) of 50008 and 50027 is 19.

GCF(50008,50027) = 19

We will now calculate the prime factors of 50008 and 50027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50008 and 50027.

How to find the GCF of 50008 and 50027?

We will first find the prime factorization of 50008 and 50027. After we will calculate the factors of 50008 and 50027 and find the biggest common factor number .

Step-1: Prime Factorization of 50008

Prime factors of 50008 are 2, 7, 19, 47. Prime factorization of 50008 in exponential form is:

50008 = 2³ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 50027

Prime factors of 50027 are 19, 2633. Prime factorization of 50027 in exponential form is:

50027 = 19¹ × 2633¹

Step-3: Factors of 50008

List of positive integer factors of 50008 that divides 50008 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 47, 56, 76, 94, 133, 152, 188, 266, 329, 376, 532, 658, 893, 1064, 1316, 1786, 2632, 3572, 6251, 7144, 12502, 25004

Step-4: Factors of 50027

List of positive integer factors of 50027 that divides 50008 without a remainder.

1, 19, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50008 and 50027. The biggest common factor number is the GCF number.
So the greatest common factor 50008 and 50027 is 19.

Also check out the Least Common Multiple of 50008 and 50027