What is the Greatest Common Factor of 14714 and 14721?

Greatest common factor (GCF) of 14714 and 14721 is 7.

GCF(14714,14721) = 7

We will now calculate the prime factors of 14714 and 14721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14714 and 14721.

How to find the GCF of 14714 and 14721?

We will first find the prime factorization of 14714 and 14721. After we will calculate the factors of 14714 and 14721 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 14721

Prime factors of 14721 are 3, 7, 701. Prime factorization of 14721 in exponential form is:

14721 = 3¹ × 7¹ × 701¹

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 14721

List of positive integer factors of 14721 that divides 14714 without a remainder.

1, 3, 7, 21, 701, 2103, 4907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14714 and 14721. The biggest common factor number is the GCF number.
So the greatest common factor 14714 and 14721 is 7.

Also check out the Least Common Multiple of 14714 and 14721