What is the Greatest Common Factor of 14082 and 14098?

Greatest common factor (GCF) of 14082 and 14098 is 2.

GCF(14082,14098) = 2

We will now calculate the prime factors of 14082 and 14098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14082 and 14098.

How to find the GCF of 14082 and 14098?

We will first find the prime factorization of 14082 and 14098. After we will calculate the factors of 14082 and 14098 and find the biggest common factor number .

Step-1: Prime Factorization of 14082

Prime factors of 14082 are 2, 3, 2347. Prime factorization of 14082 in exponential form is:

14082 = 2¹ × 3¹ × 2347¹

Step-2: Prime Factorization of 14098

Prime factors of 14098 are 2, 7, 19, 53. Prime factorization of 14098 in exponential form is:

14098 = 2¹ × 7¹ × 19¹ × 53¹

Step-3: Factors of 14082

List of positive integer factors of 14082 that divides 14082 without a remainder.

1, 2, 3, 6, 2347, 4694, 7041

Step-4: Factors of 14098

List of positive integer factors of 14098 that divides 14082 without a remainder.

1, 2, 7, 14, 19, 38, 53, 106, 133, 266, 371, 742, 1007, 2014, 7049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14082 and 14098. The biggest common factor number is the GCF number.
So the greatest common factor 14082 and 14098 is 2.

Also check out the Least Common Multiple of 14082 and 14098