What is the Greatest Common Factor of 29358 and 29376?

Greatest common factor (GCF) of 29358 and 29376 is 18.

GCF(29358,29376) = 18

We will now calculate the prime factors of 29358 and 29376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29358 and 29376.

How to find the GCF of 29358 and 29376?

We will first find the prime factorization of 29358 and 29376. After we will calculate the factors of 29358 and 29376 and find the biggest common factor number .

Step-1: Prime Factorization of 29358

Prime factors of 29358 are 2, 3, 7, 233. Prime factorization of 29358 in exponential form is:

29358 = 2¹ × 3² × 7¹ × 233¹

Step-2: 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-3: Factors of 29358

List of positive integer factors of 29358 that divides 29358 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 233, 466, 699, 1398, 1631, 2097, 3262, 4194, 4893, 9786, 14679

Step-4: Factors of 29376

List of positive integer factors of 29376 that divides 29358 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29358 and 29376. The biggest common factor number is the GCF number.
So the greatest common factor 29358 and 29376 is 18.

Also check out the Least Common Multiple of 29358 and 29376