What is the Greatest Common Factor of 29484 and 29504?

Greatest common factor (GCF) of 29484 and 29504 is 4.

GCF(29484,29504) = 4

We will now calculate the prime factors of 29484 and 29504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29484 and 29504.

How to find the GCF of 29484 and 29504?

We will first find the prime factorization of 29484 and 29504. After we will calculate the factors of 29484 and 29504 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 29504

Prime factors of 29504 are 2, 461. Prime factorization of 29504 in exponential form is:

29504 = 2⁶ × 461¹

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 29504

List of positive integer factors of 29504 that divides 29484 without a remainder.

1, 2, 4, 8, 16, 32, 64, 461, 922, 1844, 3688, 7376, 14752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29484 and 29504. The biggest common factor number is the GCF number.
So the greatest common factor 29484 and 29504 is 4.

Also check out the Least Common Multiple of 29484 and 29504