What is the Greatest Common Factor of 5005 and 5012?

Greatest common factor (GCF) of 5005 and 5012 is 7.

GCF(5005,5012) = 7

We will now calculate the prime factors of 5005 and 5012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5005 and 5012.

How to find the GCF of 5005 and 5012?

We will first find the prime factorization of 5005 and 5012. After we will calculate the factors of 5005 and 5012 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 5012

Prime factors of 5012 are 2, 7, 179. Prime factorization of 5012 in exponential form is:

5012 = 2² × 7¹ × 179¹

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 5012

List of positive integer factors of 5012 that divides 5005 without a remainder.

1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5005 and 5012. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5012 is 7.

Also check out the Least Common Multiple of 5005 and 5012