What is the Greatest Common Factor of 14014 and 14027?

Greatest common factor (GCF) of 14014 and 14027 is 13.

GCF(14014,14027) = 13

We will now calculate the prime factors of 14014 and 14027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14014 and 14027.

How to find the GCF of 14014 and 14027?

We will first find the prime factorization of 14014 and 14027. After we will calculate the factors of 14014 and 14027 and find the biggest common factor number .

Step-1: Prime Factorization of 14014

Prime factors of 14014 are 2, 7, 11, 13. Prime factorization of 14014 in exponential form is:

14014 = 2¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 14027

Prime factors of 14027 are 13, 83. Prime factorization of 14027 in exponential form is:

14027 = 13² × 83¹

Step-3: Factors of 14014

List of positive integer factors of 14014 that divides 14014 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 49, 77, 91, 98, 143, 154, 182, 286, 539, 637, 1001, 1078, 1274, 2002, 7007

Step-4: Factors of 14027

List of positive integer factors of 14027 that divides 14014 without a remainder.

1, 13, 83, 169, 1079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14014 and 14027. The biggest common factor number is the GCF number.
So the greatest common factor 14014 and 14027 is 13.

Also check out the Least Common Multiple of 14014 and 14027