What is the Greatest Common Factor of 29376 and 29382?

Greatest common factor (GCF) of 29376 and 29382 is 6.

GCF(29376,29382) = 6

We will now calculate the prime factors of 29376 and 29382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29376 and 29382.

How to find the GCF of 29376 and 29382?

We will first find the prime factorization of 29376 and 29382. After we will calculate the factors of 29376 and 29382 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 29382

Prime factors of 29382 are 2, 3, 59, 83. Prime factorization of 29382 in exponential form is:

29382 = 2¹ × 3¹ × 59¹ × 83¹

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 29382

List of positive integer factors of 29382 that divides 29376 without a remainder.

1, 2, 3, 6, 59, 83, 118, 166, 177, 249, 354, 498, 4897, 9794, 14691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29376 and 29382. The biggest common factor number is the GCF number.
So the greatest common factor 29376 and 29382 is 6.

Also check out the Least Common Multiple of 29376 and 29382