What is the Greatest Common Factor of 10560 and 10568?

Greatest common factor (GCF) of 10560 and 10568 is 8.

GCF(10560,10568) = 8

We will now calculate the prime factors of 10560 and 10568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10560 and 10568.

How to find the GCF of 10560 and 10568?

We will first find the prime factorization of 10560 and 10568. After we will calculate the factors of 10560 and 10568 and find the biggest common factor number .

Step-1: Prime Factorization of 10560

Prime factors of 10560 are 2, 3, 5, 11. Prime factorization of 10560 in exponential form is:

10560 = 2⁶ × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 10568

Prime factors of 10568 are 2, 1321. Prime factorization of 10568 in exponential form is:

10568 = 2³ × 1321¹

Step-3: Factors of 10560

List of positive integer factors of 10560 that divides 10560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 192, 220, 240, 264, 320, 330, 352, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2112, 2640, 3520, 5280

Step-4: Factors of 10568

List of positive integer factors of 10568 that divides 10560 without a remainder.

1, 2, 4, 8, 1321, 2642, 5284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10560 and 10568. The biggest common factor number is the GCF number.
So the greatest common factor 10560 and 10568 is 8.

Also check out the Least Common Multiple of 10560 and 10568