What is the Greatest Common Factor of 14025 and 14029?

Greatest common factor (GCF) of 14025 and 14029 is 1.

GCF(14025,14029) = 1

We will now calculate the prime factors of 14025 and 14029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14025 and 14029.

How to find the GCF of 14025 and 14029?

We will first find the prime factorization of 14025 and 14029. After we will calculate the factors of 14025 and 14029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14029

Prime factors of 14029 are 14029. Prime factorization of 14029 in exponential form is:

14029 = 14029¹

Step-3: Factors of 14025

List of positive integer factors of 14025 that divides 14025 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

Step-4: Factors of 14029

List of positive integer factors of 14029 that divides 14025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14025 and 14029. The biggest common factor number is the GCF number.
So the greatest common factor 14025 and 14029 is 1.

Also check out the Least Common Multiple of 14025 and 14029