What is the Greatest Common Factor of 14007 and 14025?

Greatest common factor (GCF) of 14007 and 14025 is 3.

GCF(14007,14025) = 3

We will now calculate the prime factors of 14007 and 14025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14007 and 14025.

How to find the GCF of 14007 and 14025?

We will first find the prime factorization of 14007 and 14025. After we will calculate the factors of 14007 and 14025 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 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 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 14025

List of positive integer factors of 14025 that divides 14007 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 14007 and 14025. The biggest common factor number is the GCF number.
So the greatest common factor 14007 and 14025 is 3.

Also check out the Least Common Multiple of 14007 and 14025