What is the Greatest Common Factor of 13249 and 13253?

Greatest common factor (GCF) of 13249 and 13253 is 1.

GCF(13249,13253) = 1

We will now calculate the prime factors of 13249 and 13253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13249 and 13253.

How to find the GCF of 13249 and 13253?

We will first find the prime factorization of 13249 and 13253. After we will calculate the factors of 13249 and 13253 and find the biggest common factor number .

Step-1: Prime Factorization of 13249

Prime factors of 13249 are 13249. Prime factorization of 13249 in exponential form is:

13249 = 13249¹

Step-2: Prime Factorization of 13253

Prime factors of 13253 are 29, 457. Prime factorization of 13253 in exponential form is:

13253 = 29¹ × 457¹

Step-3: Factors of 13249

List of positive integer factors of 13249 that divides 13249 without a remainder.

Step-4: Factors of 13253

List of positive integer factors of 13253 that divides 13249 without a remainder.

1, 29, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13249 and 13253. The biggest common factor number is the GCF number.
So the greatest common factor 13249 and 13253 is 1.

Also check out the Least Common Multiple of 13249 and 13253