What is the Greatest Common Factor of 16560 and 16570?

Greatest common factor (GCF) of 16560 and 16570 is 10.

GCF(16560,16570) = 10

We will now calculate the prime factors of 16560 and 16570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16560 and 16570.

How to find the GCF of 16560 and 16570?

We will first find the prime factorization of 16560 and 16570. After we will calculate the factors of 16560 and 16570 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 16570

Prime factors of 16570 are 2, 5, 1657. Prime factorization of 16570 in exponential form is:

16570 = 2¹ × 5¹ × 1657¹

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 16570

List of positive integer factors of 16570 that divides 16560 without a remainder.

1, 2, 5, 10, 1657, 3314, 8285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16560 and 16570. The biggest common factor number is the GCF number.
So the greatest common factor 16560 and 16570 is 10.

Also check out the Least Common Multiple of 16560 and 16570