What is the Greatest Common Factor of 16705 and 16725?

Greatest common factor (GCF) of 16705 and 16725 is 5.

GCF(16705,16725) = 5

We will now calculate the prime factors of 16705 and 16725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16705 and 16725.

How to find the GCF of 16705 and 16725?

We will first find the prime factorization of 16705 and 16725. After we will calculate the factors of 16705 and 16725 and find the biggest common factor number .

Step-1: Prime Factorization of 16705

Prime factors of 16705 are 5, 13, 257. Prime factorization of 16705 in exponential form is:

16705 = 5¹ × 13¹ × 257¹

Step-2: 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-3: Factors of 16705

List of positive integer factors of 16705 that divides 16705 without a remainder.

1, 5, 13, 65, 257, 1285, 3341

Step-4: Factors of 16725

List of positive integer factors of 16725 that divides 16705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16705 and 16725. The biggest common factor number is the GCF number.
So the greatest common factor 16705 and 16725 is 5.

Also check out the Least Common Multiple of 16705 and 16725