What is the Greatest Common Factor of 13225 and 13234?

Greatest common factor (GCF) of 13225 and 13234 is 1.

GCF(13225,13234) = 1

We will now calculate the prime factors of 13225 and 13234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13225 and 13234.

How to find the GCF of 13225 and 13234?

We will first find the prime factorization of 13225 and 13234. After we will calculate the factors of 13225 and 13234 and find the biggest common factor number .

Step-1: Prime Factorization of 13225

Prime factors of 13225 are 5, 23. Prime factorization of 13225 in exponential form is:

13225 = 5² × 23²

Step-2: 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-3: Factors of 13225

List of positive integer factors of 13225 that divides 13225 without a remainder.

1, 5, 23, 25, 115, 529, 575, 2645

Step-4: Factors of 13234

List of positive integer factors of 13234 that divides 13225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13225 and 13234. The biggest common factor number is the GCF number.
So the greatest common factor 13225 and 13234 is 1.

Also check out the Least Common Multiple of 13225 and 13234