What is the Greatest Common Factor of 29144 and 29160?

Greatest common factor (GCF) of 29144 and 29160 is 8.

GCF(29144,29160) = 8

We will now calculate the prime factors of 29144 and 29160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29144 and 29160.

How to find the GCF of 29144 and 29160?

We will first find the prime factorization of 29144 and 29160. After we will calculate the factors of 29144 and 29160 and find the biggest common factor number .

Step-1: Prime Factorization of 29144

Prime factors of 29144 are 2, 3643. Prime factorization of 29144 in exponential form is:

29144 = 2³ × 3643¹

Step-2: 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-3: Factors of 29144

List of positive integer factors of 29144 that divides 29144 without a remainder.

1, 2, 4, 8, 3643, 7286, 14572

Step-4: Factors of 29160

List of positive integer factors of 29160 that divides 29144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29144 and 29160. The biggest common factor number is the GCF number.
So the greatest common factor 29144 and 29160 is 8.

Also check out the Least Common Multiple of 29144 and 29160