What is the Greatest Common Factor of 5238 and 5256?

Greatest common factor (GCF) of 5238 and 5256 is 18.

GCF(5238,5256) = 18

We will now calculate the prime factors of 5238 and 5256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5238 and 5256.

How to find the GCF of 5238 and 5256?

We will first find the prime factorization of 5238 and 5256. After we will calculate the factors of 5238 and 5256 and find the biggest common factor number .

Step-1: Prime Factorization of 5238

Prime factors of 5238 are 2, 3, 97. Prime factorization of 5238 in exponential form is:

5238 = 2¹ × 3³ × 97¹

Step-2: Prime Factorization of 5256

Prime factors of 5256 are 2, 3, 73. Prime factorization of 5256 in exponential form is:

5256 = 2³ × 3² × 73¹

Step-3: Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619

Step-4: Factors of 5256

List of positive integer factors of 5256 that divides 5238 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5238 and 5256. The biggest common factor number is the GCF number.
So the greatest common factor 5238 and 5256 is 18.

Also check out the Least Common Multiple of 5238 and 5256