What is the Greatest Common Factor of 14140 and 14148?

Greatest common factor (GCF) of 14140 and 14148 is 4.

GCF(14140,14148) = 4

We will now calculate the prime factors of 14140 and 14148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14140 and 14148.

How to find the GCF of 14140 and 14148?

We will first find the prime factorization of 14140 and 14148. After we will calculate the factors of 14140 and 14148 and find the biggest common factor number .

Step-1: Prime Factorization of 14140

Prime factors of 14140 are 2, 5, 7, 101. Prime factorization of 14140 in exponential form is:

14140 = 2² × 5¹ × 7¹ × 101¹

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 14140

List of positive integer factors of 14140 that divides 14140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 101, 140, 202, 404, 505, 707, 1010, 1414, 2020, 2828, 3535, 7070

Step-4: Factors of 14148

List of positive integer factors of 14148 that divides 14140 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 14140 and 14148. The biggest common factor number is the GCF number.
So the greatest common factor 14140 and 14148 is 4.

Also check out the Least Common Multiple of 14140 and 14148