What is the Greatest Common Factor of 14007 and 14014?

Greatest common factor (GCF) of 14007 and 14014 is 7.

GCF(14007,14014) = 7

We will now calculate the prime factors of 14007 and 14014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14007 and 14014.

How to find the GCF of 14007 and 14014?

We will first find the prime factorization of 14007 and 14014. After we will calculate the factors of 14007 and 14014 and find the biggest common factor number .

Step-1: Prime Factorization of 14007

Prime factors of 14007 are 3, 7, 23, 29. Prime factorization of 14007 in exponential form is:

14007 = 3¹ × 7¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 14007

List of positive integer factors of 14007 that divides 14007 without a remainder.

1, 3, 7, 21, 23, 29, 69, 87, 161, 203, 483, 609, 667, 2001, 4669

Step-4: Factors of 14014

List of positive integer factors of 14014 that divides 14007 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14007 and 14014. The biggest common factor number is the GCF number.
So the greatest common factor 14007 and 14014 is 7.

Also check out the Least Common Multiple of 14007 and 14014