What is the Greatest Common Factor of 29376 and 29394?

Greatest common factor (GCF) of 29376 and 29394 is 18.

GCF(29376,29394) = 18

We will now calculate the prime factors of 29376 and 29394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29376 and 29394.

How to find the GCF of 29376 and 29394?

We will first find the prime factorization of 29376 and 29394. After we will calculate the factors of 29376 and 29394 and find the biggest common factor number .

Step-1: Prime Factorization of 29376

Prime factors of 29376 are 2, 3, 17. Prime factorization of 29376 in exponential form is:

29376 = 2⁶ × 3³ × 17¹

Step-2: Prime Factorization of 29394

Prime factors of 29394 are 2, 3, 23, 71. Prime factorization of 29394 in exponential form is:

29394 = 2¹ × 3² × 23¹ × 71¹

Step-3: Factors of 29376

List of positive integer factors of 29376 that divides 29376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 32, 34, 36, 48, 51, 54, 64, 68, 72, 96, 102, 108, 136, 144, 153, 192, 204, 216, 272, 288, 306, 408, 432, 459, 544, 576, 612, 816, 864, 918, 1088, 1224, 1632, 1728, 1836, 2448, 3264, 3672, 4896, 7344, 9792, 14688

Step-4: Factors of 29394

List of positive integer factors of 29394 that divides 29376 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 71, 138, 142, 207, 213, 414, 426, 639, 1278, 1633, 3266, 4899, 9798, 14697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29376 and 29394. The biggest common factor number is the GCF number.
So the greatest common factor 29376 and 29394 is 18.

Also check out the Least Common Multiple of 29376 and 29394