What is the Greatest Common Factor of 14014 and 14032?

Greatest common factor (GCF) of 14014 and 14032 is 2.

GCF(14014,14032) = 2

We will now calculate the prime factors of 14014 and 14032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14014 and 14032.

How to find the GCF of 14014 and 14032?

We will first find the prime factorization of 14014 and 14032. After we will calculate the factors of 14014 and 14032 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 14032

Prime factors of 14032 are 2, 877. Prime factorization of 14032 in exponential form is:

14032 = 2⁴ × 877¹

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 14032

List of positive integer factors of 14032 that divides 14014 without a remainder.

1, 2, 4, 8, 16, 877, 1754, 3508, 7016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14014 and 14032. The biggest common factor number is the GCF number.
So the greatest common factor 14014 and 14032 is 2.

Also check out the Least Common Multiple of 14014 and 14032