What is the Greatest Common Factor of 16540 and 16560?

Greatest common factor (GCF) of 16540 and 16560 is 20.

GCF(16540,16560) = 20

We will now calculate the prime factors of 16540 and 16560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16540 and 16560.

How to find the GCF of 16540 and 16560?

We will first find the prime factorization of 16540 and 16560. After we will calculate the factors of 16540 and 16560 and find the biggest common factor number .

Step-1: Prime Factorization of 16540

Prime factors of 16540 are 2, 5, 827. Prime factorization of 16540 in exponential form is:

16540 = 2² × 5¹ × 827¹

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 16540

List of positive integer factors of 16540 that divides 16540 without a remainder.

1, 2, 4, 5, 10, 20, 827, 1654, 3308, 4135, 8270

Step-4: Factors of 16560

List of positive integer factors of 16560 that divides 16540 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 16540 and 16560. The biggest common factor number is the GCF number.
So the greatest common factor 16540 and 16560 is 20.

Also check out the Least Common Multiple of 16540 and 16560