What is the Greatest Common Factor of 5226 and 5239?

Greatest common factor (GCF) of 5226 and 5239 is 13.

GCF(5226,5239) = 13

We will now calculate the prime factors of 5226 and 5239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5226 and 5239.

How to find the GCF of 5226 and 5239?

We will first find the prime factorization of 5226 and 5239. After we will calculate the factors of 5226 and 5239 and find the biggest common factor number .

Step-1: Prime Factorization of 5226

Prime factors of 5226 are 2, 3, 13, 67. Prime factorization of 5226 in exponential form is:

5226 = 2¹ × 3¹ × 13¹ × 67¹

Step-2: Prime Factorization of 5239

Prime factors of 5239 are 13, 31. Prime factorization of 5239 in exponential form is:

5239 = 13² × 31¹

Step-3: Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613

Step-4: Factors of 5239

List of positive integer factors of 5239 that divides 5226 without a remainder.

1, 13, 31, 169, 403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5226 and 5239. The biggest common factor number is the GCF number.
So the greatest common factor 5226 and 5239 is 13.

Also check out the Least Common Multiple of 5226 and 5239