What is the Greatest Common Factor of 16545 and 16560?

Greatest common factor (GCF) of 16545 and 16560 is 15.

GCF(16545,16560) = 15

We will now calculate the prime factors of 16545 and 16560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16545 and 16560.

How to find the GCF of 16545 and 16560?

We will first find the prime factorization of 16545 and 16560. After we will calculate the factors of 16545 and 16560 and find the biggest common factor number .

Step-1: Prime Factorization of 16545

Prime factors of 16545 are 3, 5, 1103. Prime factorization of 16545 in exponential form is:

16545 = 3¹ × 5¹ × 1103¹

Step-2: 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-3: Factors of 16545

List of positive integer factors of 16545 that divides 16545 without a remainder.

1, 3, 5, 15, 1103, 3309, 5515

Step-4: Factors of 16560

List of positive integer factors of 16560 that divides 16545 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16545 and 16560. The biggest common factor number is the GCF number.
So the greatest common factor 16545 and 16560 is 15.

Also check out the Least Common Multiple of 16545 and 16560