What is the Greatest Common Factor of 14084 and 14098?

Greatest common factor (GCF) of 14084 and 14098 is 14.

GCF(14084,14098) = 14

We will now calculate the prime factors of 14084 and 14098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14084 and 14098.

How to find the GCF of 14084 and 14098?

We will first find the prime factorization of 14084 and 14098. After we will calculate the factors of 14084 and 14098 and find the biggest common factor number .

Step-1: Prime Factorization of 14084

Prime factors of 14084 are 2, 7, 503. Prime factorization of 14084 in exponential form is:

14084 = 2² × 7¹ × 503¹

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 14084

List of positive integer factors of 14084 that divides 14084 without a remainder.

1, 2, 4, 7, 14, 28, 503, 1006, 2012, 3521, 7042

Step-4: Factors of 14098

List of positive integer factors of 14098 that divides 14084 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 14084 and 14098. The biggest common factor number is the GCF number.
So the greatest common factor 14084 and 14098 is 14.

Also check out the Least Common Multiple of 14084 and 14098