What is the Greatest Common Factor of 29160 and 29180?

Greatest common factor (GCF) of 29160 and 29180 is 20.

GCF(29160,29180) = 20

We will now calculate the prime factors of 29160 and 29180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29160 and 29180.

How to find the GCF of 29160 and 29180?

We will first find the prime factorization of 29160 and 29180. After we will calculate the factors of 29160 and 29180 and find the biggest common factor number .

Step-1: Prime Factorization of 29160

Prime factors of 29160 are 2, 3, 5. Prime factorization of 29160 in exponential form is:

29160 = 2³ × 3⁶ × 5¹

Step-2: Prime Factorization of 29180

Prime factors of 29180 are 2, 5, 1459. Prime factorization of 29180 in exponential form is:

29180 = 2² × 5¹ × 1459¹

Step-3: Factors of 29160

List of positive integer factors of 29160 that divides 29160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 729, 810, 972, 1080, 1215, 1458, 1620, 1944, 2430, 2916, 3240, 3645, 4860, 5832, 7290, 9720, 14580

Step-4: Factors of 29180

List of positive integer factors of 29180 that divides 29160 without a remainder.

1, 2, 4, 5, 10, 20, 1459, 2918, 5836, 7295, 14590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29160 and 29180. The biggest common factor number is the GCF number.
So the greatest common factor 29160 and 29180 is 20.

Also check out the Least Common Multiple of 29160 and 29180