What is the Greatest Common Factor of 14160 and 14177?

Greatest common factor (GCF) of 14160 and 14177 is 1.

GCF(14160,14177) = 1

We will now calculate the prime factors of 14160 and 14177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14160 and 14177.

How to find the GCF of 14160 and 14177?

We will first find the prime factorization of 14160 and 14177. After we will calculate the factors of 14160 and 14177 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 14177

Prime factors of 14177 are 14177. Prime factorization of 14177 in exponential form is:

14177 = 14177¹

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 14177

List of positive integer factors of 14177 that divides 14160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14160 and 14177. The biggest common factor number is the GCF number.
So the greatest common factor 14160 and 14177 is 1.

Also check out the Least Common Multiple of 14160 and 14177