What is the Greatest Common Factor of 29376 and 29388?

Greatest common factor (GCF) of 29376 and 29388 is 12.

GCF(29376,29388) = 12

We will now calculate the prime factors of 29376 and 29388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29376 and 29388.

How to find the GCF of 29376 and 29388?

We will first find the prime factorization of 29376 and 29388. After we will calculate the factors of 29376 and 29388 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 29388

Prime factors of 29388 are 2, 3, 31, 79. Prime factorization of 29388 in exponential form is:

29388 = 2² × 3¹ × 31¹ × 79¹

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 29388

List of positive integer factors of 29388 that divides 29376 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 79, 93, 124, 158, 186, 237, 316, 372, 474, 948, 2449, 4898, 7347, 9796, 14694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29376 and 29388. The biggest common factor number is the GCF number.
So the greatest common factor 29376 and 29388 is 12.

Also check out the Least Common Multiple of 29376 and 29388