What is the Greatest Common Factor of 5038 and 5049?

Greatest common factor (GCF) of 5038 and 5049 is 11.

GCF(5038,5049) = 11

We will now calculate the prime factors of 5038 and 5049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5038 and 5049.

How to find the GCF of 5038 and 5049?

We will first find the prime factorization of 5038 and 5049. After we will calculate the factors of 5038 and 5049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5049

Prime factors of 5049 are 3, 11, 17. Prime factorization of 5049 in exponential form is:

5049 = 3³ × 11¹ × 17¹

Step-3: Factors of 5038

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

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

Step-4: Factors of 5049

List of positive integer factors of 5049 that divides 5038 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5038 and 5049. The biggest common factor number is the GCF number.
So the greatest common factor 5038 and 5049 is 11.

Also check out the Least Common Multiple of 5038 and 5049