What is the Greatest Common Factor of 29580 and 29585?

Greatest common factor (GCF) of 29580 and 29585 is 5.

GCF(29580,29585) = 5

We will now calculate the prime factors of 29580 and 29585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29580 and 29585.

How to find the GCF of 29580 and 29585?

We will first find the prime factorization of 29580 and 29585. After we will calculate the factors of 29580 and 29585 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 29585

Prime factors of 29585 are 5, 61, 97. Prime factorization of 29585 in exponential form is:

29585 = 5¹ × 61¹ × 97¹

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 29585

List of positive integer factors of 29585 that divides 29580 without a remainder.

1, 5, 61, 97, 305, 485, 5917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29580 and 29585. The biggest common factor number is the GCF number.
So the greatest common factor 29580 and 29585 is 5.

Also check out the Least Common Multiple of 29580 and 29585