What is the Greatest Common Factor of 315 and 326?

Greatest common factor (GCF) of 315 and 326 is 1.

GCF(315,326) = 1

We will now calculate the prime factors of 315 and 326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 315 and 326.

How to find the GCF of 315 and 326?

We will first find the prime factorization of 315 and 326. After we will calculate the factors of 315 and 326 and find the biggest common factor number .

Step-1: Prime Factorization of 315

Prime factors of 315 are 3, 5, 7. Prime factorization of 315 in exponential form is:

315 = 3² × 5¹ × 7¹

Step-2: Prime Factorization of 326

Prime factors of 326 are 2, 163. Prime factorization of 326 in exponential form is:

326 = 2¹ × 163¹

Step-3: Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105

Step-4: Factors of 326

List of positive integer factors of 326 that divides 315 without a remainder.

1, 2, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 315 and 326. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 326 is 1.

Also check out the Least Common Multiple of 315 and 326