What is the Greatest Common Factor of 20556 and 20568?

Greatest common factor (GCF) of 20556 and 20568 is 12.

GCF(20556,20568) = 12

We will now calculate the prime factors of 20556 and 20568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20556 and 20568.

How to find the GCF of 20556 and 20568?

We will first find the prime factorization of 20556 and 20568. After we will calculate the factors of 20556 and 20568 and find the biggest common factor number .

Step-1: Prime Factorization of 20556

Prime factors of 20556 are 2, 3, 571. Prime factorization of 20556 in exponential form is:

20556 = 2² × 3² × 571¹

Step-2: Prime Factorization of 20568

Prime factors of 20568 are 2, 3, 857. Prime factorization of 20568 in exponential form is:

20568 = 2³ × 3¹ × 857¹

Step-3: Factors of 20556

List of positive integer factors of 20556 that divides 20556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 571, 1142, 1713, 2284, 3426, 5139, 6852, 10278

Step-4: Factors of 20568

List of positive integer factors of 20568 that divides 20556 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 857, 1714, 2571, 3428, 5142, 6856, 10284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20556 and 20568. The biggest common factor number is the GCF number.
So the greatest common factor 20556 and 20568 is 12.

Also check out the Least Common Multiple of 20556 and 20568