What is the Greatest Common Factor of 29584 and 29592?

Greatest common factor (GCF) of 29584 and 29592 is 8.

GCF(29584,29592) = 8

We will now calculate the prime factors of 29584 and 29592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29584 and 29592.

How to find the GCF of 29584 and 29592?

We will first find the prime factorization of 29584 and 29592. After we will calculate the factors of 29584 and 29592 and find the biggest common factor number .

Step-1: Prime Factorization of 29584

Prime factors of 29584 are 2, 43. Prime factorization of 29584 in exponential form is:

29584 = 2⁴ × 43²

Step-2: Prime Factorization of 29592

Prime factors of 29592 are 2, 3, 137. Prime factorization of 29592 in exponential form is:

29592 = 2³ × 3³ × 137¹

Step-3: Factors of 29584

List of positive integer factors of 29584 that divides 29584 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688, 1849, 3698, 7396, 14792

Step-4: Factors of 29592

List of positive integer factors of 29592 that divides 29584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 137, 216, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 3699, 4932, 7398, 9864, 14796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29584 and 29592. The biggest common factor number is the GCF number.
So the greatest common factor 29584 and 29592 is 8.

Also check out the Least Common Multiple of 29584 and 29592