What is the Greatest Common Factor of 14148 and 14168?

Greatest common factor (GCF) of 14148 and 14168 is 4.

GCF(14148,14168) = 4

We will now calculate the prime factors of 14148 and 14168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14148 and 14168.

How to find the GCF of 14148 and 14168?

We will first find the prime factorization of 14148 and 14168. After we will calculate the factors of 14148 and 14168 and find the biggest common factor number .

Step-1: Prime Factorization of 14148

Prime factors of 14148 are 2, 3, 131. Prime factorization of 14148 in exponential form is:

14148 = 2² × 3³ × 131¹

Step-2: Prime Factorization of 14168

Prime factors of 14168 are 2, 7, 11, 23. Prime factorization of 14168 in exponential form is:

14168 = 2³ × 7¹ × 11¹ × 23¹

Step-3: Factors of 14148

List of positive integer factors of 14148 that divides 14148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 131, 262, 393, 524, 786, 1179, 1572, 2358, 3537, 4716, 7074

Step-4: Factors of 14168

List of positive integer factors of 14168 that divides 14148 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 23, 28, 44, 46, 56, 77, 88, 92, 154, 161, 184, 253, 308, 322, 506, 616, 644, 1012, 1288, 1771, 2024, 3542, 7084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14148 and 14168. The biggest common factor number is the GCF number.
So the greatest common factor 14148 and 14168 is 4.

Also check out the Least Common Multiple of 14148 and 14168