What is the Greatest Common Factor of 14160 and 14167?

Greatest common factor (GCF) of 14160 and 14167 is 1.

GCF(14160,14167) = 1

We will now calculate the prime factors of 14160 and 14167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14160 and 14167.

How to find the GCF of 14160 and 14167?

We will first find the prime factorization of 14160 and 14167. After we will calculate the factors of 14160 and 14167 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 14167

Prime factors of 14167 are 31, 457. Prime factorization of 14167 in exponential form is:

14167 = 31¹ × 457¹

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 14167

List of positive integer factors of 14167 that divides 14160 without a remainder.

1, 31, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14160 and 14167. The biggest common factor number is the GCF number.
So the greatest common factor 14160 and 14167 is 1.

Also check out the Least Common Multiple of 14160 and 14167