What is the Greatest Common Factor of 29315 and 29328?

Greatest common factor (GCF) of 29315 and 29328 is 13.

GCF(29315,29328) = 13

We will now calculate the prime factors of 29315 and 29328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29315 and 29328.

How to find the GCF of 29315 and 29328?

We will first find the prime factorization of 29315 and 29328. After we will calculate the factors of 29315 and 29328 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 29328

Prime factors of 29328 are 2, 3, 13, 47. Prime factorization of 29328 in exponential form is:

29328 = 2⁴ × 3¹ × 13¹ × 47¹

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 29328

List of positive integer factors of 29328 that divides 29315 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 47, 48, 52, 78, 94, 104, 141, 156, 188, 208, 282, 312, 376, 564, 611, 624, 752, 1128, 1222, 1833, 2256, 2444, 3666, 4888, 7332, 9776, 14664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29315 and 29328. The biggest common factor number is the GCF number.
So the greatest common factor 29315 and 29328 is 13.

Also check out the Least Common Multiple of 29315 and 29328