What is the Greatest Common Factor of 29319 and 29328?

Greatest common factor (GCF) of 29319 and 29328 is 3.

GCF(29319,29328) = 3

We will now calculate the prime factors of 29319 and 29328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29319 and 29328.

How to find the GCF of 29319 and 29328?

We will first find the prime factorization of 29319 and 29328. After we will calculate the factors of 29319 and 29328 and find the biggest common factor number .

Step-1: Prime Factorization of 29319

Prime factors of 29319 are 3, 29, 337. Prime factorization of 29319 in exponential form is:

29319 = 3¹ × 29¹ × 337¹

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 29319

List of positive integer factors of 29319 that divides 29319 without a remainder.

1, 3, 29, 87, 337, 1011, 9773

Step-4: Factors of 29328

List of positive integer factors of 29328 that divides 29319 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 29319 and 29328. The biggest common factor number is the GCF number.
So the greatest common factor 29319 and 29328 is 3.

Also check out the Least Common Multiple of 29319 and 29328