What is the Greatest Common Factor of 14714 and 14727?

Greatest common factor (GCF) of 14714 and 14727 is 1.

GCF(14714,14727) = 1

We will now calculate the prime factors of 14714 and 14727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14714 and 14727.

How to find the GCF of 14714 and 14727?

We will first find the prime factorization of 14714 and 14727. After we will calculate the factors of 14714 and 14727 and find the biggest common factor number .

Step-1: Prime Factorization of 14714

Prime factors of 14714 are 2, 7, 1051. Prime factorization of 14714 in exponential form is:

14714 = 2¹ × 7¹ × 1051¹

Step-2: Prime Factorization of 14727

Prime factors of 14727 are 3, 4909. Prime factorization of 14727 in exponential form is:

14727 = 3¹ × 4909¹

Step-3: Factors of 14714

List of positive integer factors of 14714 that divides 14714 without a remainder.

1, 2, 7, 14, 1051, 2102, 7357

Step-4: Factors of 14727

List of positive integer factors of 14727 that divides 14714 without a remainder.

1, 3, 4909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14714 and 14727. The biggest common factor number is the GCF number.
So the greatest common factor 14714 and 14727 is 1.

Also check out the Least Common Multiple of 14714 and 14727