What is the Greatest Common Factor of 16960 and 16969?

Greatest common factor (GCF) of 16960 and 16969 is 1.

GCF(16960,16969) = 1

We will now calculate the prime factors of 16960 and 16969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16960 and 16969.

How to find the GCF of 16960 and 16969?

We will first find the prime factorization of 16960 and 16969. After we will calculate the factors of 16960 and 16969 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 16969

Prime factors of 16969 are 71, 239. Prime factorization of 16969 in exponential form is:

16969 = 71¹ × 239¹

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 16969

List of positive integer factors of 16969 that divides 16960 without a remainder.

1, 71, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16960 and 16969. The biggest common factor number is the GCF number.
So the greatest common factor 16960 and 16969 is 1.

Also check out the Least Common Multiple of 16960 and 16969