What is the Greatest Common Factor of 16560 and 16572?

Greatest common factor (GCF) of 16560 and 16572 is 12.

GCF(16560,16572) = 12

We will now calculate the prime factors of 16560 and 16572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16560 and 16572.

How to find the GCF of 16560 and 16572?

We will first find the prime factorization of 16560 and 16572. After we will calculate the factors of 16560 and 16572 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 16572

Prime factors of 16572 are 2, 3, 1381. Prime factorization of 16572 in exponential form is:

16572 = 2² × 3¹ × 1381¹

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 16572

List of positive integer factors of 16572 that divides 16560 without a remainder.

1, 2, 3, 4, 6, 12, 1381, 2762, 4143, 5524, 8286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16560 and 16572. The biggest common factor number is the GCF number.
So the greatest common factor 16560 and 16572 is 12.

Also check out the Least Common Multiple of 16560 and 16572