What is the Greatest Common Factor of 29484 and 29496?

Greatest common factor (GCF) of 29484 and 29496 is 12.

GCF(29484,29496) = 12

We will now calculate the prime factors of 29484 and 29496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29484 and 29496.

How to find the GCF of 29484 and 29496?

We will first find the prime factorization of 29484 and 29496. After we will calculate the factors of 29484 and 29496 and find the biggest common factor number .

Step-1: Prime Factorization of 29484

Prime factors of 29484 are 2, 3, 7, 13. Prime factorization of 29484 in exponential form is:

29484 = 2² × 3⁴ × 7¹ × 13¹

Step-2: Prime Factorization of 29496

Prime factors of 29496 are 2, 3, 1229. Prime factorization of 29496 in exponential form is:

29496 = 2³ × 3¹ × 1229¹

Step-3: Factors of 29484

List of positive integer factors of 29484 that divides 29484 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 81, 84, 91, 108, 117, 126, 156, 162, 182, 189, 234, 252, 273, 324, 351, 364, 378, 468, 546, 567, 702, 756, 819, 1053, 1092, 1134, 1404, 1638, 2106, 2268, 2457, 3276, 4212, 4914, 7371, 9828, 14742

Step-4: Factors of 29496

List of positive integer factors of 29496 that divides 29484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1229, 2458, 3687, 4916, 7374, 9832, 14748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29484 and 29496. The biggest common factor number is the GCF number.
So the greatest common factor 29484 and 29496 is 12.

Also check out the Least Common Multiple of 29484 and 29496