What is the Greatest Common Factor of 13234 and 13252?

Greatest common factor (GCF) of 13234 and 13252 is 2.

GCF(13234,13252) = 2

We will now calculate the prime factors of 13234 and 13252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13234 and 13252.

How to find the GCF of 13234 and 13252?

We will first find the prime factorization of 13234 and 13252. After we will calculate the factors of 13234 and 13252 and find the biggest common factor number .

Step-1: Prime Factorization of 13234

Prime factors of 13234 are 2, 13, 509. Prime factorization of 13234 in exponential form is:

13234 = 2¹ × 13¹ × 509¹

Step-2: Prime Factorization of 13252

Prime factors of 13252 are 2, 3313. Prime factorization of 13252 in exponential form is:

13252 = 2² × 3313¹

Step-3: Factors of 13234

List of positive integer factors of 13234 that divides 13234 without a remainder.

1, 2, 13, 26, 509, 1018, 6617

Step-4: Factors of 13252

List of positive integer factors of 13252 that divides 13234 without a remainder.

1, 2, 4, 3313, 6626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13234 and 13252. The biggest common factor number is the GCF number.
So the greatest common factor 13234 and 13252 is 2.

Also check out the Least Common Multiple of 13234 and 13252