What is the Greatest Common Factor of 5022 and 5038?

Greatest common factor (GCF) of 5022 and 5038 is 2.

GCF(5022,5038) = 2

We will now calculate the prime factors of 5022 and 5038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5022 and 5038.

How to find the GCF of 5022 and 5038?

We will first find the prime factorization of 5022 and 5038. After we will calculate the factors of 5022 and 5038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5038

Prime factors of 5038 are 2, 11, 229. Prime factorization of 5038 in exponential form is:

5038 = 2¹ × 11¹ × 229¹

Step-3: Factors of 5022

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

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

Step-4: Factors of 5038

List of positive integer factors of 5038 that divides 5022 without a remainder.

1, 2, 11, 22, 229, 458, 2519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5022 and 5038. The biggest common factor number is the GCF number.
So the greatest common factor 5022 and 5038 is 2.

Also check out the Least Common Multiple of 5022 and 5038