What is the Greatest Common Factor of 16725 and 16745?

Greatest common factor (GCF) of 16725 and 16745 is 5.

GCF(16725,16745) = 5

We will now calculate the prime factors of 16725 and 16745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16725 and 16745.

How to find the GCF of 16725 and 16745?

We will first find the prime factorization of 16725 and 16745. After we will calculate the factors of 16725 and 16745 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 16745

Prime factors of 16745 are 5, 17, 197. Prime factorization of 16745 in exponential form is:

16745 = 5¹ × 17¹ × 197¹

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 16745

List of positive integer factors of 16745 that divides 16725 without a remainder.

1, 5, 17, 85, 197, 985, 3349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16725 and 16745. The biggest common factor number is the GCF number.
So the greatest common factor 16725 and 16745 is 5.

Also check out the Least Common Multiple of 16725 and 16745