What is the Greatest Common Factor of 14148 and 14153?

Greatest common factor (GCF) of 14148 and 14153 is 1.

GCF(14148,14153) = 1

We will now calculate the prime factors of 14148 and 14153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14148 and 14153.

How to find the GCF of 14148 and 14153?

We will first find the prime factorization of 14148 and 14153. After we will calculate the factors of 14148 and 14153 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 14153

Prime factors of 14153 are 14153. Prime factorization of 14153 in exponential form is:

14153 = 14153¹

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 14153

List of positive integer factors of 14153 that divides 14148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14148 and 14153. The biggest common factor number is the GCF number.
So the greatest common factor 14148 and 14153 is 1.

Also check out the Least Common Multiple of 14148 and 14153