What is the Greatest Common Factor of 29580 and 29597?

Greatest common factor (GCF) of 29580 and 29597 is 17.

GCF(29580,29597) = 17

We will now calculate the prime factors of 29580 and 29597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29580 and 29597.

How to find the GCF of 29580 and 29597?

We will first find the prime factorization of 29580 and 29597. After we will calculate the factors of 29580 and 29597 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 29597

Prime factors of 29597 are 17, 1741. Prime factorization of 29597 in exponential form is:

29597 = 17¹ × 1741¹

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 29597

List of positive integer factors of 29597 that divides 29580 without a remainder.

1, 17, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29580 and 29597. The biggest common factor number is the GCF number.
So the greatest common factor 29580 and 29597 is 17.

Also check out the Least Common Multiple of 29580 and 29597