What is the Greatest Common Factor of 16965 and 16971?

Greatest common factor (GCF) of 16965 and 16971 is 3.

GCF(16965,16971) = 3

We will now calculate the prime factors of 16965 and 16971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16965 and 16971.

How to find the GCF of 16965 and 16971?

We will first find the prime factorization of 16965 and 16971. After we will calculate the factors of 16965 and 16971 and find the biggest common factor number .

Step-1: Prime Factorization of 16965

Prime factors of 16965 are 3, 5, 13, 29. Prime factorization of 16965 in exponential form is:

16965 = 3² × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 16971

Prime factors of 16971 are 3, 5657. Prime factorization of 16971 in exponential form is:

16971 = 3¹ × 5657¹

Step-3: Factors of 16965

List of positive integer factors of 16965 that divides 16965 without a remainder.

1, 3, 5, 9, 13, 15, 29, 39, 45, 65, 87, 117, 145, 195, 261, 377, 435, 585, 1131, 1305, 1885, 3393, 5655

Step-4: Factors of 16971

List of positive integer factors of 16971 that divides 16965 without a remainder.

1, 3, 5657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16965 and 16971. The biggest common factor number is the GCF number.
So the greatest common factor 16965 and 16971 is 3.

Also check out the Least Common Multiple of 16965 and 16971