What is the Greatest Common Factor of 5002 and 5022?

Greatest common factor (GCF) of 5002 and 5022 is 2.

GCF(5002,5022) = 2

We will now calculate the prime factors of 5002 and 5022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5002 and 5022.

How to find the GCF of 5002 and 5022?

We will first find the prime factorization of 5002 and 5022. After we will calculate the factors of 5002 and 5022 and find the biggest common factor number .

Step-1: Prime Factorization of 5002

Prime factors of 5002 are 2, 41, 61. Prime factorization of 5002 in exponential form is:

5002 = 2¹ × 41¹ × 61¹

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 5002

List of positive integer factors of 5002 that divides 5002 without a remainder.

1, 2, 41, 61, 82, 122, 2501

Step-4: Factors of 5022

List of positive integer factors of 5022 that divides 5002 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 5002 and 5022. The biggest common factor number is the GCF number.
So the greatest common factor 5002 and 5022 is 2.

Also check out the Least Common Multiple of 5002 and 5022