What is the Greatest Common Factor of 5230 and 5238?

Greatest common factor (GCF) of 5230 and 5238 is 2.

GCF(5230,5238) = 2

We will now calculate the prime factors of 5230 and 5238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5230 and 5238.

How to find the GCF of 5230 and 5238?

We will first find the prime factorization of 5230 and 5238. After we will calculate the factors of 5230 and 5238 and find the biggest common factor number .

Step-1: Prime Factorization of 5230

Prime factors of 5230 are 2, 5, 523. Prime factorization of 5230 in exponential form is:

5230 = 2¹ × 5¹ × 523¹

Step-2: 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-3: Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1, 2, 5, 10, 523, 1046, 2615

Step-4: Factors of 5238

List of positive integer factors of 5238 that divides 5230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5230 and 5238. The biggest common factor number is the GCF number.
So the greatest common factor 5230 and 5238 is 2.

Also check out the Least Common Multiple of 5230 and 5238