What is the Greatest Common Factor of 29159 and 29172?

Greatest common factor (GCF) of 29159 and 29172 is 13.

GCF(29159,29172) = 13

We will now calculate the prime factors of 29159 and 29172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29159 and 29172.

How to find the GCF of 29159 and 29172?

We will first find the prime factorization of 29159 and 29172. After we will calculate the factors of 29159 and 29172 and find the biggest common factor number .

Step-1: Prime Factorization of 29159

Prime factors of 29159 are 13, 2243. Prime factorization of 29159 in exponential form is:

29159 = 13¹ × 2243¹

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 29159

List of positive integer factors of 29159 that divides 29159 without a remainder.

1, 13, 2243

Step-4: Factors of 29172

List of positive integer factors of 29172 that divides 29159 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 29159 and 29172. The biggest common factor number is the GCF number.
So the greatest common factor 29159 and 29172 is 13.

Also check out the Least Common Multiple of 29159 and 29172