What is the Greatest Common Factor of 50008 and 50015?

Greatest common factor (GCF) of 50008 and 50015 is 7.

GCF(50008,50015) = 7

We will now calculate the prime factors of 50008 and 50015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50008 and 50015.

How to find the GCF of 50008 and 50015?

We will first find the prime factorization of 50008 and 50015. After we will calculate the factors of 50008 and 50015 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 50015

Prime factors of 50015 are 5, 7, 1429. Prime factorization of 50015 in exponential form is:

50015 = 5¹ × 7¹ × 1429¹

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 50015

List of positive integer factors of 50015 that divides 50008 without a remainder.

1, 5, 7, 35, 1429, 7145, 10003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50008 and 50015. The biggest common factor number is the GCF number.
So the greatest common factor 50008 and 50015 is 7.

Also check out the Least Common Multiple of 50008 and 50015