What is the Greatest Common Factor of 14160 and 14172?

Greatest common factor (GCF) of 14160 and 14172 is 12.

GCF(14160,14172) = 12

We will now calculate the prime factors of 14160 and 14172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14160 and 14172.

How to find the GCF of 14160 and 14172?

We will first find the prime factorization of 14160 and 14172. After we will calculate the factors of 14160 and 14172 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 14172

Prime factors of 14172 are 2, 3, 1181. Prime factorization of 14172 in exponential form is:

14172 = 2² × 3¹ × 1181¹

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 14172

List of positive integer factors of 14172 that divides 14160 without a remainder.

1, 2, 3, 4, 6, 12, 1181, 2362, 3543, 4724, 7086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14160 and 14172. The biggest common factor number is the GCF number.
So the greatest common factor 14160 and 14172 is 12.

Also check out the Least Common Multiple of 14160 and 14172