What is the Greatest Common Factor of 29146 and 29160?

Greatest common factor (GCF) of 29146 and 29160 is 2.

GCF(29146,29160) = 2

We will now calculate the prime factors of 29146 and 29160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29146 and 29160.

How to find the GCF of 29146 and 29160?

We will first find the prime factorization of 29146 and 29160. After we will calculate the factors of 29146 and 29160 and find the biggest common factor number .

Step-1: Prime Factorization of 29146

Prime factors of 29146 are 2, 13, 19, 59. Prime factorization of 29146 in exponential form is:

29146 = 2¹ × 13¹ × 19¹ × 59¹

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 29146

List of positive integer factors of 29146 that divides 29146 without a remainder.

1, 2, 13, 19, 26, 38, 59, 118, 247, 494, 767, 1121, 1534, 2242, 14573

Step-4: Factors of 29160

List of positive integer factors of 29160 that divides 29146 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 29146 and 29160. The biggest common factor number is the GCF number.
So the greatest common factor 29146 and 29160 is 2.

Also check out the Least Common Multiple of 29146 and 29160