What is the Greatest Common Factor of 29484 and 29498?

Greatest common factor (GCF) of 29484 and 29498 is 14.

GCF(29484,29498) = 14

We will now calculate the prime factors of 29484 and 29498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29484 and 29498.

How to find the GCF of 29484 and 29498?

We will first find the prime factorization of 29484 and 29498. After we will calculate the factors of 29484 and 29498 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 29498

Prime factors of 29498 are 2, 7, 43. Prime factorization of 29498 in exponential form is:

29498 = 2¹ × 7³ × 43¹

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 29498

List of positive integer factors of 29498 that divides 29484 without a remainder.

1, 2, 7, 14, 43, 49, 86, 98, 301, 343, 602, 686, 2107, 4214, 14749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29484 and 29498. The biggest common factor number is the GCF number.
So the greatest common factor 29484 and 29498 is 14.

Also check out the Least Common Multiple of 29484 and 29498