What is the Greatest Common Factor of 14014 and 14025?

Greatest common factor (GCF) of 14014 and 14025 is 11.

GCF(14014,14025) = 11

We will now calculate the prime factors of 14014 and 14025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14014 and 14025.

How to find the GCF of 14014 and 14025?

We will first find the prime factorization of 14014 and 14025. After we will calculate the factors of 14014 and 14025 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 14025

Prime factors of 14025 are 3, 5, 11, 17. Prime factorization of 14025 in exponential form is:

14025 = 3¹ × 5² × 11¹ × 17¹

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 14025

List of positive integer factors of 14025 that divides 14014 without a remainder.

1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 165, 187, 255, 275, 425, 561, 825, 935, 1275, 2805, 4675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14014 and 14025. The biggest common factor number is the GCF number.
So the greatest common factor 14014 and 14025 is 11.

Also check out the Least Common Multiple of 14014 and 14025