What is the Greatest Common Factor of 29315 and 29326?

Greatest common factor (GCF) of 29315 and 29326 is 11.

GCF(29315,29326) = 11

We will now calculate the prime factors of 29315 and 29326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29315 and 29326.

How to find the GCF of 29315 and 29326?

We will first find the prime factorization of 29315 and 29326. After we will calculate the factors of 29315 and 29326 and find the biggest common factor number .

Step-1: Prime Factorization of 29315

Prime factors of 29315 are 5, 11, 13, 41. Prime factorization of 29315 in exponential form is:

29315 = 5¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 29326

Prime factors of 29326 are 2, 11, 31, 43. Prime factorization of 29326 in exponential form is:

29326 = 2¹ × 11¹ × 31¹ × 43¹

Step-3: Factors of 29315

List of positive integer factors of 29315 that divides 29315 without a remainder.

1, 5, 11, 13, 41, 55, 65, 143, 205, 451, 533, 715, 2255, 2665, 5863

Step-4: Factors of 29326

List of positive integer factors of 29326 that divides 29315 without a remainder.

1, 2, 11, 22, 31, 43, 62, 86, 341, 473, 682, 946, 1333, 2666, 14663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29315 and 29326. The biggest common factor number is the GCF number.
So the greatest common factor 29315 and 29326 is 11.

Also check out the Least Common Multiple of 29315 and 29326