What is the Greatest Common Factor of 13214 and 13231?

Greatest common factor (GCF) of 13214 and 13231 is 1.

GCF(13214,13231) = 1

We will now calculate the prime factors of 13214 and 13231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13214 and 13231.

How to find the GCF of 13214 and 13231?

We will first find the prime factorization of 13214 and 13231. After we will calculate the factors of 13214 and 13231 and find the biggest common factor number .

Step-1: Prime Factorization of 13214

Prime factors of 13214 are 2, 6607. Prime factorization of 13214 in exponential form is:

13214 = 2¹ × 6607¹

Step-2: Prime Factorization of 13231

Prime factors of 13231 are 101, 131. Prime factorization of 13231 in exponential form is:

13231 = 101¹ × 131¹

Step-3: Factors of 13214

List of positive integer factors of 13214 that divides 13214 without a remainder.

1, 2, 6607

Step-4: Factors of 13231

List of positive integer factors of 13231 that divides 13214 without a remainder.

1, 101, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13214 and 13231. The biggest common factor number is the GCF number.
So the greatest common factor 13214 and 13231 is 1.

Also check out the Least Common Multiple of 13214 and 13231