What is the Greatest Common Factor of 14138 and 14142?

Greatest common factor (GCF) of 14138 and 14142 is 2.

GCF(14138,14142) = 2

We will now calculate the prime factors of 14138 and 14142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14138 and 14142.

How to find the GCF of 14138 and 14142?

We will first find the prime factorization of 14138 and 14142. After we will calculate the factors of 14138 and 14142 and find the biggest common factor number .

Step-1: Prime Factorization of 14138

Prime factors of 14138 are 2, 7069. Prime factorization of 14138 in exponential form is:

14138 = 2¹ × 7069¹

Step-2: Prime Factorization of 14142

Prime factors of 14142 are 2, 3, 2357. Prime factorization of 14142 in exponential form is:

14142 = 2¹ × 3¹ × 2357¹

Step-3: Factors of 14138

List of positive integer factors of 14138 that divides 14138 without a remainder.

1, 2, 7069

Step-4: Factors of 14142

List of positive integer factors of 14142 that divides 14138 without a remainder.

1, 2, 3, 6, 2357, 4714, 7071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14138 and 14142. The biggest common factor number is the GCF number.
So the greatest common factor 14138 and 14142 is 2.

Also check out the Least Common Multiple of 14138 and 14142