What is the Greatest Common Factor of 13258 and 13263?

Greatest common factor (GCF) of 13258 and 13263 is 1.

GCF(13258,13263) = 1

We will now calculate the prime factors of 13258 and 13263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13258 and 13263.

How to find the GCF of 13258 and 13263?

We will first find the prime factorization of 13258 and 13263. After we will calculate the factors of 13258 and 13263 and find the biggest common factor number .

Step-1: Prime Factorization of 13258

Prime factors of 13258 are 2, 7, 947. Prime factorization of 13258 in exponential form is:

13258 = 2¹ × 7¹ × 947¹

Step-2: Prime Factorization of 13263

Prime factors of 13263 are 3, 4421. Prime factorization of 13263 in exponential form is:

13263 = 3¹ × 4421¹

Step-3: Factors of 13258

List of positive integer factors of 13258 that divides 13258 without a remainder.

1, 2, 7, 14, 947, 1894, 6629

Step-4: Factors of 13263

List of positive integer factors of 13263 that divides 13258 without a remainder.

1, 3, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13258 and 13263. The biggest common factor number is the GCF number.
So the greatest common factor 13258 and 13263 is 1.

Also check out the Least Common Multiple of 13258 and 13263