What is the Greatest Common Factor of 5044 and 5057?

Greatest common factor (GCF) of 5044 and 5057 is 13.

GCF(5044,5057) = 13

We will now calculate the prime factors of 5044 and 5057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5044 and 5057.

How to find the GCF of 5044 and 5057?

We will first find the prime factorization of 5044 and 5057. After we will calculate the factors of 5044 and 5057 and find the biggest common factor number .

Step-1: Prime Factorization of 5044

Prime factors of 5044 are 2, 13, 97. Prime factorization of 5044 in exponential form is:

5044 = 2² × 13¹ × 97¹

Step-2: Prime Factorization of 5057

Prime factors of 5057 are 13, 389. Prime factorization of 5057 in exponential form is:

5057 = 13¹ × 389¹

Step-3: Factors of 5044

List of positive integer factors of 5044 that divides 5044 without a remainder.

1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522

Step-4: Factors of 5057

List of positive integer factors of 5057 that divides 5044 without a remainder.

1, 13, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5044 and 5057. The biggest common factor number is the GCF number.
So the greatest common factor 5044 and 5057 is 13.

Also check out the Least Common Multiple of 5044 and 5057