What is the Greatest Common Factor of 29470 and 29484?

Greatest common factor (GCF) of 29470 and 29484 is 14.

GCF(29470,29484) = 14

We will now calculate the prime factors of 29470 and 29484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29470 and 29484.

How to find the GCF of 29470 and 29484?

We will first find the prime factorization of 29470 and 29484. After we will calculate the factors of 29470 and 29484 and find the biggest common factor number .

Step-1: Prime Factorization of 29470

Prime factors of 29470 are 2, 5, 7, 421. Prime factorization of 29470 in exponential form is:

29470 = 2¹ × 5¹ × 7¹ × 421¹

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 29470

List of positive integer factors of 29470 that divides 29470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 421, 842, 2105, 2947, 4210, 5894, 14735

Step-4: Factors of 29484

List of positive integer factors of 29484 that divides 29470 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 29470 and 29484. The biggest common factor number is the GCF number.
So the greatest common factor 29470 and 29484 is 14.

Also check out the Least Common Multiple of 29470 and 29484