What is the Greatest Common Factor of 5234 and 5252?

Greatest common factor (GCF) of 5234 and 5252 is 2.

GCF(5234,5252) = 2

We will now calculate the prime factors of 5234 and 5252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5234 and 5252.

How to find the GCF of 5234 and 5252?

We will first find the prime factorization of 5234 and 5252. After we will calculate the factors of 5234 and 5252 and find the biggest common factor number .

Step-1: Prime Factorization of 5234

Prime factors of 5234 are 2, 2617. Prime factorization of 5234 in exponential form is:

5234 = 2¹ × 2617¹

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 5234

List of positive integer factors of 5234 that divides 5234 without a remainder.

1, 2, 2617

Step-4: Factors of 5252

List of positive integer factors of 5252 that divides 5234 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 5234 and 5252. The biggest common factor number is the GCF number.
So the greatest common factor 5234 and 5252 is 2.

Also check out the Least Common Multiple of 5234 and 5252