What is the Greatest Common Factor of 14025 and 14034?

Greatest common factor (GCF) of 14025 and 14034 is 3.

GCF(14025,14034) = 3

We will now calculate the prime factors of 14025 and 14034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14025 and 14034.

How to find the GCF of 14025 and 14034?

We will first find the prime factorization of 14025 and 14034. After we will calculate the factors of 14025 and 14034 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 14034

Prime factors of 14034 are 2, 3, 2339. Prime factorization of 14034 in exponential form is:

14034 = 2¹ × 3¹ × 2339¹

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 14034

List of positive integer factors of 14034 that divides 14025 without a remainder.

1, 2, 3, 6, 2339, 4678, 7017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14025 and 14034. The biggest common factor number is the GCF number.
So the greatest common factor 14025 and 14034 is 3.

Also check out the Least Common Multiple of 14025 and 14034