What is the Greatest Common Factor of 29288 and 29304?

Greatest common factor (GCF) of 29288 and 29304 is 8.

GCF(29288,29304) = 8

We will now calculate the prime factors of 29288 and 29304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29288 and 29304.

How to find the GCF of 29288 and 29304?

We will first find the prime factorization of 29288 and 29304. After we will calculate the factors of 29288 and 29304 and find the biggest common factor number .

Step-1: Prime Factorization of 29288

Prime factors of 29288 are 2, 7, 523. Prime factorization of 29288 in exponential form is:

29288 = 2³ × 7¹ × 523¹

Step-2: Prime Factorization of 29304

Prime factors of 29304 are 2, 3, 11, 37. Prime factorization of 29304 in exponential form is:

29304 = 2³ × 3² × 11¹ × 37¹

Step-3: Factors of 29288

List of positive integer factors of 29288 that divides 29288 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 523, 1046, 2092, 3661, 4184, 7322, 14644

Step-4: Factors of 29304

List of positive integer factors of 29304 that divides 29288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 37, 44, 66, 72, 74, 88, 99, 111, 132, 148, 198, 222, 264, 296, 333, 396, 407, 444, 666, 792, 814, 888, 1221, 1332, 1628, 2442, 2664, 3256, 3663, 4884, 7326, 9768, 14652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29288 and 29304. The biggest common factor number is the GCF number.
So the greatest common factor 29288 and 29304 is 8.

Also check out the Least Common Multiple of 29288 and 29304