What is the Greatest Common Factor of 16905 and 16915?

Greatest common factor (GCF) of 16905 and 16915 is 5.

GCF(16905,16915) = 5

We will now calculate the prime factors of 16905 and 16915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16905 and 16915.

How to find the GCF of 16905 and 16915?

We will first find the prime factorization of 16905 and 16915. After we will calculate the factors of 16905 and 16915 and find the biggest common factor number .

Step-1: Prime Factorization of 16905

Prime factors of 16905 are 3, 5, 7, 23. Prime factorization of 16905 in exponential form is:

16905 = 3¹ × 5¹ × 7² × 23¹

Step-2: Prime Factorization of 16915

Prime factors of 16915 are 5, 17, 199. Prime factorization of 16915 in exponential form is:

16915 = 5¹ × 17¹ × 199¹

Step-3: Factors of 16905

List of positive integer factors of 16905 that divides 16905 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 49, 69, 105, 115, 147, 161, 245, 345, 483, 735, 805, 1127, 2415, 3381, 5635

Step-4: Factors of 16915

List of positive integer factors of 16915 that divides 16905 without a remainder.

1, 5, 17, 85, 199, 995, 3383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16905 and 16915. The biggest common factor number is the GCF number.
So the greatest common factor 16905 and 16915 is 5.

Also check out the Least Common Multiple of 16905 and 16915