What is the Greatest Common Factor of 16960 and 16965?

Greatest common factor (GCF) of 16960 and 16965 is 5.

GCF(16960,16965) = 5

We will now calculate the prime factors of 16960 and 16965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16960 and 16965.

How to find the GCF of 16960 and 16965?

We will first find the prime factorization of 16960 and 16965. After we will calculate the factors of 16960 and 16965 and find the biggest common factor number .

Step-1: Prime Factorization of 16960

Prime factors of 16960 are 2, 5, 53. Prime factorization of 16960 in exponential form is:

16960 = 2⁶ × 5¹ × 53¹

Step-2: 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-3: Factors of 16960

List of positive integer factors of 16960 that divides 16960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 64, 80, 106, 160, 212, 265, 320, 424, 530, 848, 1060, 1696, 2120, 3392, 4240, 8480

Step-4: Factors of 16965

List of positive integer factors of 16965 that divides 16960 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16960 and 16965. The biggest common factor number is the GCF number.
So the greatest common factor 16960 and 16965 is 5.

Also check out the Least Common Multiple of 16960 and 16965