What is the Greatest Common Factor of 20559 and 20568?

Greatest common factor (GCF) of 20559 and 20568 is 3.

GCF(20559,20568) = 3

We will now calculate the prime factors of 20559 and 20568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20559 and 20568.

How to find the GCF of 20559 and 20568?

We will first find the prime factorization of 20559 and 20568. After we will calculate the factors of 20559 and 20568 and find the biggest common factor number .

Step-1: Prime Factorization of 20559

Prime factors of 20559 are 3, 7, 11, 89. Prime factorization of 20559 in exponential form is:

20559 = 3¹ × 7¹ × 11¹ × 89¹

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 20559

List of positive integer factors of 20559 that divides 20559 without a remainder.

1, 3, 7, 11, 21, 33, 77, 89, 231, 267, 623, 979, 1869, 2937, 6853

Step-4: Factors of 20568

List of positive integer factors of 20568 that divides 20559 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 20559 and 20568. The biggest common factor number is the GCF number.
So the greatest common factor 20559 and 20568 is 3.

Also check out the Least Common Multiple of 20559 and 20568