What is the Greatest Common Factor of 5004 and 5010?

Greatest common factor (GCF) of 5004 and 5010 is 6.

GCF(5004,5010) = 6

We will now calculate the prime factors of 5004 and 5010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5004 and 5010.

How to find the GCF of 5004 and 5010?

We will first find the prime factorization of 5004 and 5010. After we will calculate the factors of 5004 and 5010 and find the biggest common factor number .

Step-1: Prime Factorization of 5004

Prime factors of 5004 are 2, 3, 139. Prime factorization of 5004 in exponential form is:

5004 = 2² × 3² × 139¹

Step-2: Prime Factorization of 5010

Prime factors of 5010 are 2, 3, 5, 167. Prime factorization of 5010 in exponential form is:

5010 = 2¹ × 3¹ × 5¹ × 167¹

Step-3: Factors of 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502

Step-4: Factors of 5010

List of positive integer factors of 5010 that divides 5004 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5004 and 5010. The biggest common factor number is the GCF number.
So the greatest common factor 5004 and 5010 is 6.

Also check out the Least Common Multiple of 5004 and 5010