What is the Greatest Common Factor of 29304 and 29322?

Greatest common factor (GCF) of 29304 and 29322 is 18.

GCF(29304,29322) = 18

We will now calculate the prime factors of 29304 and 29322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29304 and 29322.

How to find the GCF of 29304 and 29322?

We will first find the prime factorization of 29304 and 29322. After we will calculate the factors of 29304 and 29322 and find the biggest common factor number .

Step-1: Prime Factorization of 29304

Prime factors of 29304 are 2, 3, 11, 37. Prime factorization of 29304 in exponential form is:

29304 = 2³ × 3² × 11¹ × 37¹

Step-2: Prime Factorization of 29322

Prime factors of 29322 are 2, 3, 181. Prime factorization of 29322 in exponential form is:

29322 = 2¹ × 3⁴ × 181¹

Step-3: Factors of 29304

List of positive integer factors of 29304 that divides 29304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 37, 44, 66, 72, 74, 88, 99, 111, 132, 148, 198, 222, 264, 296, 333, 396, 407, 444, 666, 792, 814, 888, 1221, 1332, 1628, 2442, 2664, 3256, 3663, 4884, 7326, 9768, 14652

Step-4: Factors of 29322

List of positive integer factors of 29322 that divides 29304 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 181, 362, 543, 1086, 1629, 3258, 4887, 9774, 14661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29304 and 29322. The biggest common factor number is the GCF number.
So the greatest common factor 29304 and 29322 is 18.

Also check out the Least Common Multiple of 29304 and 29322