What is the Greatest Common Factor of 14061 and 14067?

Greatest common factor (GCF) of 14061 and 14067 is 3.

GCF(14061,14067) = 3

We will now calculate the prime factors of 14061 and 14067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14061 and 14067.

How to find the GCF of 14061 and 14067?

We will first find the prime factorization of 14061 and 14067. After we will calculate the factors of 14061 and 14067 and find the biggest common factor number .

Step-1: Prime Factorization of 14061

Prime factors of 14061 are 3, 43, 109. Prime factorization of 14061 in exponential form is:

14061 = 3¹ × 43¹ × 109¹

Step-2: Prime Factorization of 14067

Prime factors of 14067 are 3, 521. Prime factorization of 14067 in exponential form is:

14067 = 3³ × 521¹

Step-3: Factors of 14061

List of positive integer factors of 14061 that divides 14061 without a remainder.

1, 3, 43, 109, 129, 327, 4687

Step-4: Factors of 14067

List of positive integer factors of 14067 that divides 14061 without a remainder.

1, 3, 9, 27, 521, 1563, 4689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14061 and 14067. The biggest common factor number is the GCF number.
So the greatest common factor 14061 and 14067 is 3.

Also check out the Least Common Multiple of 14061 and 14067