What is the Greatest Common Factor of 16560 and 16565?

Greatest common factor (GCF) of 16560 and 16565 is 5.

GCF(16560,16565) = 5

We will now calculate the prime factors of 16560 and 16565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16560 and 16565.

How to find the GCF of 16560 and 16565?

We will first find the prime factorization of 16560 and 16565. After we will calculate the factors of 16560 and 16565 and find the biggest common factor number .

Step-1: Prime Factorization of 16560

Prime factors of 16560 are 2, 3, 5, 23. Prime factorization of 16560 in exponential form is:

16560 = 2⁴ × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 16565

Prime factors of 16565 are 5, 3313. Prime factorization of 16565 in exponential form is:

16565 = 5¹ × 3313¹

Step-3: Factors of 16560

List of positive integer factors of 16560 that divides 16560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 115, 120, 138, 144, 180, 184, 207, 230, 240, 276, 345, 360, 368, 414, 460, 552, 690, 720, 828, 920, 1035, 1104, 1380, 1656, 1840, 2070, 2760, 3312, 4140, 5520, 8280

Step-4: Factors of 16565

List of positive integer factors of 16565 that divides 16560 without a remainder.

1, 5, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16560 and 16565. The biggest common factor number is the GCF number.
So the greatest common factor 16560 and 16565 is 5.

Also check out the Least Common Multiple of 16560 and 16565