What is the Greatest Common Factor of 29268 and 29286?

Greatest common factor (GCF) of 29268 and 29286 is 18.

GCF(29268,29286) = 18

We will now calculate the prime factors of 29268 and 29286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29268 and 29286.

How to find the GCF of 29268 and 29286?

We will first find the prime factorization of 29268 and 29286. After we will calculate the factors of 29268 and 29286 and find the biggest common factor number .

Step-1: Prime Factorization of 29268

Prime factors of 29268 are 2, 3, 271. Prime factorization of 29268 in exponential form is:

29268 = 2² × 3³ × 271¹

Step-2: Prime Factorization of 29286

Prime factors of 29286 are 2, 3, 1627. Prime factorization of 29286 in exponential form is:

29286 = 2¹ × 3² × 1627¹

Step-3: Factors of 29268

List of positive integer factors of 29268 that divides 29268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 7317, 9756, 14634

Step-4: Factors of 29286

List of positive integer factors of 29286 that divides 29268 without a remainder.

1, 2, 3, 6, 9, 18, 1627, 3254, 4881, 9762, 14643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29268 and 29286. The biggest common factor number is the GCF number.
So the greatest common factor 29268 and 29286 is 18.

Also check out the Least Common Multiple of 29268 and 29286