What is the Greatest Common Factor of 29172 and 29185?

Greatest common factor (GCF) of 29172 and 29185 is 13.

GCF(29172,29185) = 13

We will now calculate the prime factors of 29172 and 29185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29172 and 29185.

How to find the GCF of 29172 and 29185?

We will first find the prime factorization of 29172 and 29185. After we will calculate the factors of 29172 and 29185 and find the biggest common factor number .

Step-1: Prime Factorization of 29172

Prime factors of 29172 are 2, 3, 11, 13, 17. Prime factorization of 29172 in exponential form is:

29172 = 2² × 3¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 29185

Prime factors of 29185 are 5, 13, 449. Prime factorization of 29185 in exponential form is:

29185 = 5¹ × 13¹ × 449¹

Step-3: Factors of 29172

List of positive integer factors of 29172 that divides 29172 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 17, 22, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 102, 132, 143, 156, 187, 204, 221, 286, 374, 429, 442, 561, 572, 663, 748, 858, 884, 1122, 1326, 1716, 2244, 2431, 2652, 4862, 7293, 9724, 14586

Step-4: Factors of 29185

List of positive integer factors of 29185 that divides 29172 without a remainder.

1, 5, 13, 65, 449, 2245, 5837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29172 and 29185. The biggest common factor number is the GCF number.
So the greatest common factor 29172 and 29185 is 13.

Also check out the Least Common Multiple of 29172 and 29185