What is the Greatest Common Factor of 29166 and 29172?

Greatest common factor (GCF) of 29166 and 29172 is 6.

GCF(29166,29172) = 6

We will now calculate the prime factors of 29166 and 29172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29166 and 29172.

How to find the GCF of 29166 and 29172?

We will first find the prime factorization of 29166 and 29172. After we will calculate the factors of 29166 and 29172 and find the biggest common factor number .

Step-1: Prime Factorization of 29166

Prime factors of 29166 are 2, 3, 4861. Prime factorization of 29166 in exponential form is:

29166 = 2¹ × 3¹ × 4861¹

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 29166

List of positive integer factors of 29166 that divides 29166 without a remainder.

1, 2, 3, 6, 4861, 9722, 14583

Step-4: Factors of 29172

List of positive integer factors of 29172 that divides 29166 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 29166 and 29172. The biggest common factor number is the GCF number.
So the greatest common factor 29166 and 29172 is 6.

Also check out the Least Common Multiple of 29166 and 29172