What is the Greatest Common Factor of 29160 and 29165?

Greatest common factor (GCF) of 29160 and 29165 is 5.

GCF(29160,29165) = 5

We will now calculate the prime factors of 29160 and 29165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29160 and 29165.

How to find the GCF of 29160 and 29165?

We will first find the prime factorization of 29160 and 29165. After we will calculate the factors of 29160 and 29165 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 29165

Prime factors of 29165 are 5, 19, 307. Prime factorization of 29165 in exponential form is:

29165 = 5¹ × 19¹ × 307¹

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 29165

List of positive integer factors of 29165 that divides 29160 without a remainder.

1, 5, 19, 95, 307, 1535, 5833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29160 and 29165. The biggest common factor number is the GCF number.
So the greatest common factor 29160 and 29165 is 5.

Also check out the Least Common Multiple of 29160 and 29165