What is the Greatest Common Factor of 29376 and 29381?

Greatest common factor (GCF) of 29376 and 29381 is 1.

GCF(29376,29381) = 1

We will now calculate the prime factors of 29376 and 29381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29376 and 29381.

How to find the GCF of 29376 and 29381?

We will first find the prime factorization of 29376 and 29381. After we will calculate the factors of 29376 and 29381 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 29381

Prime factors of 29381 are 11, 2671. Prime factorization of 29381 in exponential form is:

29381 = 11¹ × 2671¹

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 29381

List of positive integer factors of 29381 that divides 29376 without a remainder.

1, 11, 2671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29376 and 29381. The biggest common factor number is the GCF number.
So the greatest common factor 29376 and 29381 is 1.

Also check out the Least Common Multiple of 29376 and 29381