What is the Greatest Common Factor of 16725 and 16729?

Greatest common factor (GCF) of 16725 and 16729 is 1.

GCF(16725,16729) = 1

We will now calculate the prime factors of 16725 and 16729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16725 and 16729.

How to find the GCF of 16725 and 16729?

We will first find the prime factorization of 16725 and 16729. After we will calculate the factors of 16725 and 16729 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 16729

Prime factors of 16729 are 16729. Prime factorization of 16729 in exponential form is:

16729 = 16729¹

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 16729

List of positive integer factors of 16729 that divides 16725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16725 and 16729. The biggest common factor number is the GCF number.
So the greatest common factor 16725 and 16729 is 1.

Also check out the Least Common Multiple of 16725 and 16729