What is the Greatest Common Factor of 29172 and 29188?

Greatest common factor (GCF) of 29172 and 29188 is 4.

GCF(29172,29188) = 4

We will now calculate the prime factors of 29172 and 29188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29172 and 29188.

How to find the GCF of 29172 and 29188?

We will first find the prime factorization of 29172 and 29188. After we will calculate the factors of 29172 and 29188 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 29188

Prime factors of 29188 are 2, 7297. Prime factorization of 29188 in exponential form is:

29188 = 2² × 7297¹

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 29188

List of positive integer factors of 29188 that divides 29172 without a remainder.

1, 2, 4, 7297, 14594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29172 and 29188. The biggest common factor number is the GCF number.
So the greatest common factor 29172 and 29188 is 4.

Also check out the Least Common Multiple of 29172 and 29188