What is the Greatest Common Factor of 29172 and 29183?

Greatest common factor (GCF) of 29172 and 29183 is 11.

GCF(29172,29183) = 11

We will now calculate the prime factors of 29172 and 29183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29172 and 29183.

How to find the GCF of 29172 and 29183?

We will first find the prime factorization of 29172 and 29183. After we will calculate the factors of 29172 and 29183 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 29183

Prime factors of 29183 are 7, 11, 379. Prime factorization of 29183 in exponential form is:

29183 = 7¹ × 11¹ × 379¹

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 29183

List of positive integer factors of 29183 that divides 29172 without a remainder.

1, 7, 11, 77, 379, 2653, 4169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29172 and 29183. The biggest common factor number is the GCF number.
So the greatest common factor 29172 and 29183 is 11.

Also check out the Least Common Multiple of 29172 and 29183