What is the Greatest Common Factor of 29160 and 29171?

Greatest common factor (GCF) of 29160 and 29171 is 1.

GCF(29160,29171) = 1

We will now calculate the prime factors of 29160 and 29171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29160 and 29171.

How to find the GCF of 29160 and 29171?

We will first find the prime factorization of 29160 and 29171. After we will calculate the factors of 29160 and 29171 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 29171

Prime factors of 29171 are 31, 941. Prime factorization of 29171 in exponential form is:

29171 = 31¹ × 941¹

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 29171

List of positive integer factors of 29171 that divides 29160 without a remainder.

1, 31, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29160 and 29171. The biggest common factor number is the GCF number.
So the greatest common factor 29160 and 29171 is 1.

Also check out the Least Common Multiple of 29160 and 29171