What is the Greatest Common Factor of 14142 and 14162?

Greatest common factor (GCF) of 14142 and 14162 is 2.

GCF(14142,14162) = 2

We will now calculate the prime factors of 14142 and 14162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14142 and 14162.

How to find the GCF of 14142 and 14162?

We will first find the prime factorization of 14142 and 14162. After we will calculate the factors of 14142 and 14162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14162

Prime factors of 14162 are 2, 73, 97. Prime factorization of 14162 in exponential form is:

14162 = 2¹ × 73¹ × 97¹

Step-3: Factors of 14142

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

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

Step-4: Factors of 14162

List of positive integer factors of 14162 that divides 14142 without a remainder.

1, 2, 73, 97, 146, 194, 7081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14142 and 14162. The biggest common factor number is the GCF number.
So the greatest common factor 14142 and 14162 is 2.

Also check out the Least Common Multiple of 14142 and 14162