What is the Greatest Common Factor of 13214 and 13230?

Greatest common factor (GCF) of 13214 and 13230 is 2.

GCF(13214,13230) = 2

We will now calculate the prime factors of 13214 and 13230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13214 and 13230.

How to find the GCF of 13214 and 13230?

We will first find the prime factorization of 13214 and 13230. After we will calculate the factors of 13214 and 13230 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 13230

Prime factors of 13230 are 2, 3, 5, 7. Prime factorization of 13230 in exponential form is:

13230 = 2¹ × 3³ × 5¹ × 7²

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 13230

List of positive integer factors of 13230 that divides 13214 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 378, 441, 490, 630, 735, 882, 945, 1323, 1470, 1890, 2205, 2646, 4410, 6615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13214 and 13230. The biggest common factor number is the GCF number.
So the greatest common factor 13214 and 13230 is 2.

Also check out the Least Common Multiple of 13214 and 13230