What is the Greatest Common Factor of 14045 and 14055?

Greatest common factor (GCF) of 14045 and 14055 is 5.

GCF(14045,14055) = 5

We will now calculate the prime factors of 14045 and 14055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14045 and 14055.

How to find the GCF of 14045 and 14055?

We will first find the prime factorization of 14045 and 14055. After we will calculate the factors of 14045 and 14055 and find the biggest common factor number .

Step-1: Prime Factorization of 14045

Prime factors of 14045 are 5, 53. Prime factorization of 14045 in exponential form is:

14045 = 5¹ × 53²

Step-2: Prime Factorization of 14055

Prime factors of 14055 are 3, 5, 937. Prime factorization of 14055 in exponential form is:

14055 = 3¹ × 5¹ × 937¹

Step-3: Factors of 14045

List of positive integer factors of 14045 that divides 14045 without a remainder.

1, 5, 53, 265, 2809

Step-4: Factors of 14055

List of positive integer factors of 14055 that divides 14045 without a remainder.

1, 3, 5, 15, 937, 2811, 4685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14045 and 14055. The biggest common factor number is the GCF number.
So the greatest common factor 14045 and 14055 is 5.

Also check out the Least Common Multiple of 14045 and 14055