What is the Greatest Common Factor of 16714 and 16734?

Greatest common factor (GCF) of 16714 and 16734 is 2.

GCF(16714,16734) = 2

We will now calculate the prime factors of 16714 and 16734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16714 and 16734.

How to find the GCF of 16714 and 16734?

We will first find the prime factorization of 16714 and 16734. After we will calculate the factors of 16714 and 16734 and find the biggest common factor number .

Step-1: Prime Factorization of 16714

Prime factors of 16714 are 2, 61, 137. Prime factorization of 16714 in exponential form is:

16714 = 2¹ × 61¹ × 137¹

Step-2: Prime Factorization of 16734

Prime factors of 16734 are 2, 3, 2789. Prime factorization of 16734 in exponential form is:

16734 = 2¹ × 3¹ × 2789¹

Step-3: Factors of 16714

List of positive integer factors of 16714 that divides 16714 without a remainder.

1, 2, 61, 122, 137, 274, 8357

Step-4: Factors of 16734

List of positive integer factors of 16734 that divides 16714 without a remainder.

1, 2, 3, 6, 2789, 5578, 8367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16714 and 16734. The biggest common factor number is the GCF number.
So the greatest common factor 16714 and 16734 is 2.

Also check out the Least Common Multiple of 16714 and 16734