What is the Greatest Common Factor of 29580 and 29584?

Greatest common factor (GCF) of 29580 and 29584 is 4.

GCF(29580,29584) = 4

We will now calculate the prime factors of 29580 and 29584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29580 and 29584.

How to find the GCF of 29580 and 29584?

We will first find the prime factorization of 29580 and 29584. After we will calculate the factors of 29580 and 29584 and find the biggest common factor number .

Step-1: Prime Factorization of 29580

Prime factors of 29580 are 2, 3, 5, 17, 29. Prime factorization of 29580 in exponential form is:

29580 = 2² × 3¹ × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 29584

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

29584 = 2⁴ × 43²

Step-3: Factors of 29580

List of positive integer factors of 29580 that divides 29580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 29, 30, 34, 51, 58, 60, 68, 85, 87, 102, 116, 145, 170, 174, 204, 255, 290, 340, 348, 435, 493, 510, 580, 870, 986, 1020, 1479, 1740, 1972, 2465, 2958, 4930, 5916, 7395, 9860, 14790

Step-4: Factors of 29584

List of positive integer factors of 29584 that divides 29580 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29580 and 29584. The biggest common factor number is the GCF number.
So the greatest common factor 29580 and 29584 is 4.

Also check out the Least Common Multiple of 29580 and 29584