What is the Greatest Common Factor of 14142 and 14148?

Greatest common factor (GCF) of 14142 and 14148 is 6.

GCF(14142,14148) = 6

We will now calculate the prime factors of 14142 and 14148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14142 and 14148.

How to find the GCF of 14142 and 14148?

We will first find the prime factorization of 14142 and 14148. After we will calculate the factors of 14142 and 14148 and find the biggest common factor number .

Step-1: Prime Factorization of 14142

Prime factors of 14142 are 2, 3, 2357. Prime factorization of 14142 in exponential form is:

14142 = 2¹ × 3¹ × 2357¹

Step-2: 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-3: Factors of 14142

List of positive integer factors of 14142 that divides 14142 without a remainder.

1, 2, 3, 6, 2357, 4714, 7071

Step-4: Factors of 14148

List of positive integer factors of 14148 that divides 14142 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14142 and 14148. The biggest common factor number is the GCF number.
So the greatest common factor 14142 and 14148 is 6.

Also check out the Least Common Multiple of 14142 and 14148