What is the Greatest Common Factor of 14140 and 14153?

Greatest common factor (GCF) of 14140 and 14153 is 1.

GCF(14140,14153) = 1

We will now calculate the prime factors of 14140 and 14153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14140 and 14153.

How to find the GCF of 14140 and 14153?

We will first find the prime factorization of 14140 and 14153. After we will calculate the factors of 14140 and 14153 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 14153

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

14153 = 14153¹

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 14153

List of positive integer factors of 14153 that divides 14140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14140 and 14153. The biggest common factor number is the GCF number.
So the greatest common factor 14140 and 14153 is 1.

Also check out the Least Common Multiple of 14140 and 14153