What is the Greatest Common Factor of 14140 and 14146?

Greatest common factor (GCF) of 14140 and 14146 is 2.

GCF(14140,14146) = 2

We will now calculate the prime factors of 14140 and 14146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14140 and 14146.

How to find the GCF of 14140 and 14146?

We will first find the prime factorization of 14140 and 14146. After we will calculate the factors of 14140 and 14146 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 14146

Prime factors of 14146 are 2, 11, 643. Prime factorization of 14146 in exponential form is:

14146 = 2¹ × 11¹ × 643¹

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 14146

List of positive integer factors of 14146 that divides 14140 without a remainder.

1, 2, 11, 22, 643, 1286, 7073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14140 and 14146. The biggest common factor number is the GCF number.
So the greatest common factor 14140 and 14146 is 2.

Also check out the Least Common Multiple of 14140 and 14146