What is the Greatest Common Factor of 16725 and 16738?

Greatest common factor (GCF) of 16725 and 16738 is 1.

GCF(16725,16738) = 1

We will now calculate the prime factors of 16725 and 16738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16725 and 16738.

How to find the GCF of 16725 and 16738?

We will first find the prime factorization of 16725 and 16738. After we will calculate the factors of 16725 and 16738 and find the biggest common factor number .

Step-1: Prime Factorization of 16725

Prime factors of 16725 are 3, 5, 223. Prime factorization of 16725 in exponential form is:

16725 = 3¹ × 5² × 223¹

Step-2: Prime Factorization of 16738

Prime factors of 16738 are 2, 8369. Prime factorization of 16738 in exponential form is:

16738 = 2¹ × 8369¹

Step-3: Factors of 16725

List of positive integer factors of 16725 that divides 16725 without a remainder.

1, 3, 5, 15, 25, 75, 223, 669, 1115, 3345, 5575

Step-4: Factors of 16738

List of positive integer factors of 16738 that divides 16725 without a remainder.

1, 2, 8369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16725 and 16738. The biggest common factor number is the GCF number.
So the greatest common factor 16725 and 16738 is 1.

Also check out the Least Common Multiple of 16725 and 16738