What is the Greatest Common Factor of 14049 and 14065?

Greatest common factor (GCF) of 14049 and 14065 is 1.

GCF(14049,14065) = 1

We will now calculate the prime factors of 14049 and 14065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14049 and 14065.

How to find the GCF of 14049 and 14065?

We will first find the prime factorization of 14049 and 14065. After we will calculate the factors of 14049 and 14065 and find the biggest common factor number .

Step-1: Prime Factorization of 14049

Prime factors of 14049 are 3, 7, 223. Prime factorization of 14049 in exponential form is:

14049 = 3² × 7¹ × 223¹

Step-2: Prime Factorization of 14065

Prime factors of 14065 are 5, 29, 97. Prime factorization of 14065 in exponential form is:

14065 = 5¹ × 29¹ × 97¹

Step-3: Factors of 14049

List of positive integer factors of 14049 that divides 14049 without a remainder.

1, 3, 7, 9, 21, 63, 223, 669, 1561, 2007, 4683

Step-4: Factors of 14065

List of positive integer factors of 14065 that divides 14049 without a remainder.

1, 5, 29, 97, 145, 485, 2813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14049 and 14065. The biggest common factor number is the GCF number.
So the greatest common factor 14049 and 14065 is 1.

Also check out the Least Common Multiple of 14049 and 14065