What is the Greatest Common Factor of 29172 and 29179?

Greatest common factor (GCF) of 29172 and 29179 is 1.

GCF(29172,29179) = 1

We will now calculate the prime factors of 29172 and 29179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29172 and 29179.

How to find the GCF of 29172 and 29179?

We will first find the prime factorization of 29172 and 29179. After we will calculate the factors of 29172 and 29179 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 29179

Prime factors of 29179 are 29179. Prime factorization of 29179 in exponential form is:

29179 = 29179¹

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 29179

List of positive integer factors of 29179 that divides 29172 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29172 and 29179. The biggest common factor number is the GCF number.
So the greatest common factor 29172 and 29179 is 1.

Also check out the Least Common Multiple of 29172 and 29179