What is the Greatest Common Factor of 16560 and 16575?

Greatest common factor (GCF) of 16560 and 16575 is 15.

GCF(16560,16575) = 15

We will now calculate the prime factors of 16560 and 16575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16560 and 16575.

How to find the GCF of 16560 and 16575?

We will first find the prime factorization of 16560 and 16575. After we will calculate the factors of 16560 and 16575 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 16575

Prime factors of 16575 are 3, 5, 13, 17. Prime factorization of 16575 in exponential form is:

16575 = 3¹ × 5² × 13¹ × 17¹

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 16575

List of positive integer factors of 16575 that divides 16560 without a remainder.

1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 195, 221, 255, 325, 425, 663, 975, 1105, 1275, 3315, 5525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16560 and 16575. The biggest common factor number is the GCF number.
So the greatest common factor 16560 and 16575 is 15.

Also check out the Least Common Multiple of 16560 and 16575