What is the Greatest Common Factor of 29164 and 29172?

Greatest common factor (GCF) of 29164 and 29172 is 4.

GCF(29164,29172) = 4

We will now calculate the prime factors of 29164 and 29172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29164 and 29172.

How to find the GCF of 29164 and 29172?

We will first find the prime factorization of 29164 and 29172. After we will calculate the factors of 29164 and 29172 and find the biggest common factor number .

Step-1: Prime Factorization of 29164

Prime factors of 29164 are 2, 23, 317. Prime factorization of 29164 in exponential form is:

29164 = 2² × 23¹ × 317¹

Step-2: 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-3: Factors of 29164

List of positive integer factors of 29164 that divides 29164 without a remainder.

1, 2, 4, 23, 46, 92, 317, 634, 1268, 7291, 14582

Step-4: Factors of 29172

List of positive integer factors of 29172 that divides 29164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29164 and 29172. The biggest common factor number is the GCF number.
So the greatest common factor 29164 and 29172 is 4.

Also check out the Least Common Multiple of 29164 and 29172