What is the Greatest Common Factor of 14140 and 14149?

Greatest common factor (GCF) of 14140 and 14149 is 1.

GCF(14140,14149) = 1

We will now calculate the prime factors of 14140 and 14149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14140 and 14149.

How to find the GCF of 14140 and 14149?

We will first find the prime factorization of 14140 and 14149. After we will calculate the factors of 14140 and 14149 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 14149

Prime factors of 14149 are 14149. Prime factorization of 14149 in exponential form is:

14149 = 14149¹

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 14149

List of positive integer factors of 14149 that divides 14140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14140 and 14149. The biggest common factor number is the GCF number.
So the greatest common factor 14140 and 14149 is 1.

Also check out the Least Common Multiple of 14140 and 14149