What is the Greatest Common Factor of 5004 and 5022?

Greatest common factor (GCF) of 5004 and 5022 is 18.

GCF(5004,5022) = 18

We will now calculate the prime factors of 5004 and 5022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5004 and 5022.

How to find the GCF of 5004 and 5022?

We will first find the prime factorization of 5004 and 5022. After we will calculate the factors of 5004 and 5022 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 5022

Prime factors of 5022 are 2, 3, 31. Prime factorization of 5022 in exponential form is:

5022 = 2¹ × 3⁴ × 31¹

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 5022

List of positive integer factors of 5022 that divides 5004 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5004 and 5022. The biggest common factor number is the GCF number.
So the greatest common factor 5004 and 5022 is 18.

Also check out the Least Common Multiple of 5004 and 5022