What is the Greatest Common Factor of 29472 and 29484?

Greatest common factor (GCF) of 29472 and 29484 is 12.

GCF(29472,29484) = 12

We will now calculate the prime factors of 29472 and 29484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29472 and 29484.

How to find the GCF of 29472 and 29484?

We will first find the prime factorization of 29472 and 29484. After we will calculate the factors of 29472 and 29484 and find the biggest common factor number .

Step-1: Prime Factorization of 29472

Prime factors of 29472 are 2, 3, 307. Prime factorization of 29472 in exponential form is:

29472 = 2⁵ × 3¹ × 307¹

Step-2: 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-3: Factors of 29472

List of positive integer factors of 29472 that divides 29472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736

Step-4: Factors of 29484

List of positive integer factors of 29484 that divides 29472 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29472 and 29484. The biggest common factor number is the GCF number.
So the greatest common factor 29472 and 29484 is 12.

Also check out the Least Common Multiple of 29472 and 29484