What is the Greatest Common Factor of 13243 and 13262?

Greatest common factor (GCF) of 13243 and 13262 is 19.

GCF(13243,13262) = 19

We will now calculate the prime factors of 13243 and 13262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13243 and 13262.

How to find the GCF of 13243 and 13262?

We will first find the prime factorization of 13243 and 13262. After we will calculate the factors of 13243 and 13262 and find the biggest common factor number .

Step-1: Prime Factorization of 13243

Prime factors of 13243 are 17, 19, 41. Prime factorization of 13243 in exponential form is:

13243 = 17¹ × 19¹ × 41¹

Step-2: Prime Factorization of 13262

Prime factors of 13262 are 2, 19, 349. Prime factorization of 13262 in exponential form is:

13262 = 2¹ × 19¹ × 349¹

Step-3: Factors of 13243

List of positive integer factors of 13243 that divides 13243 without a remainder.

1, 17, 19, 41, 323, 697, 779

Step-4: Factors of 13262

List of positive integer factors of 13262 that divides 13243 without a remainder.

1, 2, 19, 38, 349, 698, 6631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13243 and 13262. The biggest common factor number is the GCF number.
So the greatest common factor 13243 and 13262 is 19.

Also check out the Least Common Multiple of 13243 and 13262