What is the Greatest Common Factor of 14014 and 14030?

Greatest common factor (GCF) of 14014 and 14030 is 2.

GCF(14014,14030) = 2

We will now calculate the prime factors of 14014 and 14030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14014 and 14030.

How to find the GCF of 14014 and 14030?

We will first find the prime factorization of 14014 and 14030. After we will calculate the factors of 14014 and 14030 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 14030

Prime factors of 14030 are 2, 5, 23, 61. Prime factorization of 14030 in exponential form is:

14030 = 2¹ × 5¹ × 23¹ × 61¹

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 14030

List of positive integer factors of 14030 that divides 14014 without a remainder.

1, 2, 5, 10, 23, 46, 61, 115, 122, 230, 305, 610, 1403, 2806, 7015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14014 and 14030. The biggest common factor number is the GCF number.
So the greatest common factor 14014 and 14030 is 2.

Also check out the Least Common Multiple of 14014 and 14030