What is the Greatest Common Factor of 16865 and 16885?

Greatest common factor (GCF) of 16865 and 16885 is 5.

GCF(16865,16885) = 5

We will now calculate the prime factors of 16865 and 16885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16865 and 16885.

How to find the GCF of 16865 and 16885?

We will first find the prime factorization of 16865 and 16885. After we will calculate the factors of 16865 and 16885 and find the biggest common factor number .

Step-1: Prime Factorization of 16865

Prime factors of 16865 are 5, 3373. Prime factorization of 16865 in exponential form is:

16865 = 5¹ × 3373¹

Step-2: Prime Factorization of 16885

Prime factors of 16885 are 5, 11, 307. Prime factorization of 16885 in exponential form is:

16885 = 5¹ × 11¹ × 307¹

Step-3: Factors of 16865

List of positive integer factors of 16865 that divides 16865 without a remainder.

1, 5, 3373

Step-4: Factors of 16885

List of positive integer factors of 16885 that divides 16865 without a remainder.

1, 5, 11, 55, 307, 1535, 3377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16865 and 16885. The biggest common factor number is the GCF number.
So the greatest common factor 16865 and 16885 is 5.

Also check out the Least Common Multiple of 16865 and 16885