What is the Greatest Common Factor of 5005 and 5019?

Greatest common factor (GCF) of 5005 and 5019 is 7.

GCF(5005,5019) = 7

We will now calculate the prime factors of 5005 and 5019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5005 and 5019.

How to find the GCF of 5005 and 5019?

We will first find the prime factorization of 5005 and 5019. After we will calculate the factors of 5005 and 5019 and find the biggest common factor number .

Step-1: Prime Factorization of 5005

Prime factors of 5005 are 5, 7, 11, 13. Prime factorization of 5005 in exponential form is:

5005 = 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 5019

Prime factors of 5019 are 3, 7, 239. Prime factorization of 5019 in exponential form is:

5019 = 3¹ × 7¹ × 239¹

Step-3: Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001

Step-4: Factors of 5019

List of positive integer factors of 5019 that divides 5005 without a remainder.

1, 3, 7, 21, 239, 717, 1673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5005 and 5019. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5019 is 7.

Also check out the Least Common Multiple of 5005 and 5019