What is the Greatest Common Factor of 14716 and 14722?

Greatest common factor (GCF) of 14716 and 14722 is 2.

GCF(14716,14722) = 2

We will now calculate the prime factors of 14716 and 14722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14716 and 14722.

How to find the GCF of 14716 and 14722?

We will first find the prime factorization of 14716 and 14722. After we will calculate the factors of 14716 and 14722 and find the biggest common factor number .

Step-1: Prime Factorization of 14716

Prime factors of 14716 are 2, 13, 283. Prime factorization of 14716 in exponential form is:

14716 = 2² × 13¹ × 283¹

Step-2: Prime Factorization of 14722

Prime factors of 14722 are 2, 17, 433. Prime factorization of 14722 in exponential form is:

14722 = 2¹ × 17¹ × 433¹

Step-3: Factors of 14716

List of positive integer factors of 14716 that divides 14716 without a remainder.

1, 2, 4, 13, 26, 52, 283, 566, 1132, 3679, 7358

Step-4: Factors of 14722

List of positive integer factors of 14722 that divides 14716 without a remainder.

1, 2, 17, 34, 433, 866, 7361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14716 and 14722. The biggest common factor number is the GCF number.
So the greatest common factor 14716 and 14722 is 2.

Also check out the Least Common Multiple of 14716 and 14722