What is the Greatest Common Factor of 5239 and 5252?

Greatest common factor (GCF) of 5239 and 5252 is 13.

GCF(5239,5252) = 13

We will now calculate the prime factors of 5239 and 5252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5239 and 5252.

How to find the GCF of 5239 and 5252?

We will first find the prime factorization of 5239 and 5252. After we will calculate the factors of 5239 and 5252 and find the biggest common factor number .

Step-1: Prime Factorization of 5239

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

5239 = 13² × 31¹

Step-2: Prime Factorization of 5252

Prime factors of 5252 are 2, 13, 101. Prime factorization of 5252 in exponential form is:

5252 = 2² × 13¹ × 101¹

Step-3: Factors of 5239

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

1, 13, 31, 169, 403

Step-4: Factors of 5252

List of positive integer factors of 5252 that divides 5239 without a remainder.

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5239 and 5252. The biggest common factor number is the GCF number.
So the greatest common factor 5239 and 5252 is 13.

Also check out the Least Common Multiple of 5239 and 5252