What is the Greatest Common Factor of 29268 and 29280?

Greatest common factor (GCF) of 29268 and 29280 is 12.

GCF(29268,29280) = 12

We will now calculate the prime factors of 29268 and 29280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29268 and 29280.

How to find the GCF of 29268 and 29280?

We will first find the prime factorization of 29268 and 29280. After we will calculate the factors of 29268 and 29280 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 29280

Prime factors of 29280 are 2, 3, 5, 61. Prime factorization of 29280 in exponential form is:

29280 = 2⁵ × 3¹ × 5¹ × 61¹

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 29280

List of positive integer factors of 29280 that divides 29268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 61, 80, 96, 120, 122, 160, 183, 240, 244, 305, 366, 480, 488, 610, 732, 915, 976, 1220, 1464, 1830, 1952, 2440, 2928, 3660, 4880, 5856, 7320, 9760, 14640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29268 and 29280. The biggest common factor number is the GCF number.
So the greatest common factor 29268 and 29280 is 12.

Also check out the Least Common Multiple of 29268 and 29280