What is the Greatest Common Factor of 29172 and 29192?

Greatest common factor (GCF) of 29172 and 29192 is 4.

GCF(29172,29192) = 4

We will now calculate the prime factors of 29172 and 29192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29172 and 29192.

How to find the GCF of 29172 and 29192?

We will first find the prime factorization of 29172 and 29192. After we will calculate the factors of 29172 and 29192 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 29192

Prime factors of 29192 are 2, 41, 89. Prime factorization of 29192 in exponential form is:

29192 = 2³ × 41¹ × 89¹

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 29192

List of positive integer factors of 29192 that divides 29172 without a remainder.

1, 2, 4, 8, 41, 82, 89, 164, 178, 328, 356, 712, 3649, 7298, 14596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29172 and 29192. The biggest common factor number is the GCF number.
So the greatest common factor 29172 and 29192 is 4.

Also check out the Least Common Multiple of 29172 and 29192