What is the Greatest Common Factor of 16723 and 16730?

Greatest common factor (GCF) of 16723 and 16730 is 7.

GCF(16723,16730) = 7

We will now calculate the prime factors of 16723 and 16730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16723 and 16730.

How to find the GCF of 16723 and 16730?

We will first find the prime factorization of 16723 and 16730. After we will calculate the factors of 16723 and 16730 and find the biggest common factor number .

Step-1: Prime Factorization of 16723

Prime factors of 16723 are 7, 2389. Prime factorization of 16723 in exponential form is:

16723 = 7¹ × 2389¹

Step-2: Prime Factorization of 16730

Prime factors of 16730 are 2, 5, 7, 239. Prime factorization of 16730 in exponential form is:

16730 = 2¹ × 5¹ × 7¹ × 239¹

Step-3: Factors of 16723

List of positive integer factors of 16723 that divides 16723 without a remainder.

1, 7, 2389

Step-4: Factors of 16730

List of positive integer factors of 16730 that divides 16723 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 239, 478, 1195, 1673, 2390, 3346, 8365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16723 and 16730. The biggest common factor number is the GCF number.
So the greatest common factor 16723 and 16730 is 7.

Also check out the Least Common Multiple of 16723 and 16730