What is the Greatest Common Factor of 14160 and 14166?

Greatest common factor (GCF) of 14160 and 14166 is 6.

GCF(14160,14166) = 6

We will now calculate the prime factors of 14160 and 14166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14160 and 14166.

How to find the GCF of 14160 and 14166?

We will first find the prime factorization of 14160 and 14166. After we will calculate the factors of 14160 and 14166 and find the biggest common factor number .

Step-1: Prime Factorization of 14160

Prime factors of 14160 are 2, 3, 5, 59. Prime factorization of 14160 in exponential form is:

14160 = 2⁴ × 3¹ × 5¹ × 59¹

Step-2: Prime Factorization of 14166

Prime factors of 14166 are 2, 3, 787. Prime factorization of 14166 in exponential form is:

14166 = 2¹ × 3² × 787¹

Step-3: Factors of 14160

List of positive integer factors of 14160 that divides 14160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 59, 60, 80, 118, 120, 177, 236, 240, 295, 354, 472, 590, 708, 885, 944, 1180, 1416, 1770, 2360, 2832, 3540, 4720, 7080

Step-4: Factors of 14166

List of positive integer factors of 14166 that divides 14160 without a remainder.

1, 2, 3, 6, 9, 18, 787, 1574, 2361, 4722, 7083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14160 and 14166. The biggest common factor number is the GCF number.
So the greatest common factor 14160 and 14166 is 6.

Also check out the Least Common Multiple of 14160 and 14166